A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right. A block of mass m = 4. 0-kg block is released from rest at the top of a frictionless incline that makes an angle of 37( with the horizontal. A block of mass 4. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1. A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. A block of mass M is initially at rest on a frictionless floor. The upper block has mass M 1 < M 2. After the collision, puck A has a velocity of v_1 to the left, and puck B has velocity v_2 to the right. Block C has a mass of 1. The coefficient of friction between and the plane is. A block of mass M at rest on a horizontal frictionless table. A particle of mass 4. 0 kilogram block gives it an acceleration of 5. 12 A force F newtons gives an object with mass M, an acceleration of A. Calculate the acceleration of the wedge. To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 12 N. The rope pulls horizontally on block A. A block with mass m is placed on the wedge (the figure (Figure 1) (a)). 20-kilogram mass is sliding on a horizontal, frictionless air track with a speed of 3. The system is released from rest. 4 You are designing a pendulum clock to have a period of 1. A massless spring with force constant k = 250 N/m is fastened at its left end to a vertical wall. 120 m/s to the left, and puck B has a velocity of 0. 0 kg is pulled along a horizontal table by a force of 15 N, which is applied by a light string that passes over a light frictionless pulley, as shown at right. 2 m/s2 C) 10. 5 and g = 10 m/s^2, then find the accleration of the system. 0-kilogram block gives it an acceleration of 5. • b) Find the coe cient of kinetic friction between block and plane. As the rope is released, find the reading of the pan balance as the rope falls onto the balance. Figure 1: Mass on a spring. Two blocks, of mass m and 2m, are initially at rest on a horizontal frictionless surface. A ball is thrown with a velocity of 35 meters per second at an angle of 30° above the horizontal. The body and spring are placed on a horizontal frictionless surface and rotated about the held end of the spring at 2. After it is released, find (a) the acceleration of each of the boxes, and (b) the. The coefficient of kinetic friction (µ k) between the 5 kg block and the surface of the table is 0,15. A block with mass m is placed on the wedge (the figure (Figure 1) (a)). A bullet of mass m is fired horizontally into the block and embeds itself in the block. * A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. 0 meters per second, is accelerated uniformly at 2. It then compresses a spring of force constant k and is brought to rest. Q: A block of mass m 1 = 4. A mass, m1 = 6. A block of mass 2 kg placed on a long frictionless horizontal table is pulled horizontally by a constant force f it is found to move 10 m in the first 2 - 19593…. 1 An object, of mass m, hangs at the end of a string from the ceiling of a lift cage. Calculate the maximum vertical height above the initial rest position reached by the bullet/block combination. A block A of mass m 1 rests on a horizontal table. The coefficient of friction between and the plane is. 40 kg connected to a light spring with a spring constant of 19. 0 cm and mass 0. 0 kg as shown above. If block A is stopped in 0. A block of mass m is given an initial. After the collision, puck A has a velocity of v_1 to the left, and puck B has velocity v_2 to the right. 0 m/s to the right. A) 120 N B) 0 N C) 160 N D) 150 N E) 200 N 146) 147) Two objects have masses m and 5 m, respectively. Initially the block is at rest and the spring has natural length. If the cart starts from rest, how far will it go during the 5 s that the force is applied? 4. The moment of inertia of the spool about a vertical axis through its center of mass is I 2= 0. If B is accelerating at 15/9 m/s² the net force on it MUST be 5kg*15/9m/s² = 75/9 = 25/3 N. 0 cm from its unstretched length of 4. 90 m down the incline in 2. Determine the minimum force needed to hold the block in place. is no friction from the table). Block B, of mass mB, hangs from a light string that runs over a pulley and attaches to block A, as shown above. Starting from rest, the pieces are pushed across the table by two equal forces. 5 m/s^2 by a force of 8. Near the surface of the earth a uniform disk of mass M 1 and radius R is pivoted on a frictionless horizontal axle through its center. After a 20-N horizontal force is applied to the block, it accelerates at 3. 00 kg, block B has a mass of 2. The upper block has mass M 1 < M 2. 0-kilogram steel block is at rest on a friction-less horizontal surface. An identical block is at rest on a frictionless, horizontal table placed on the surface of the moon. The acceleration of the block is measured to be (2/3)g in an experiment using a computer-controlled motion sensor. A body of mass 40 gram is moving with a constant velocity of 20 m s − 1 on a horizontal frictionless table. 2 Promotional Examination 2008 [Turn Over J1 Promotional Examination 2008 (Paper 1) (1 hour 15 min) Data speed of light in free space, c = 3. Mass of block = m = 3. Assume there is no friction between the bottom block and the table but the coefficient of static friction between the two blocks is 0. 5 kg is initially at rest at the edge of a 1. 0 kg) and block II (mass = 2. He applies a horizontal force of 50 N on the box. A block of mass `m_1=250 g` is at rest on a plane that makes an angle of `theta=30^@` with the horizontal. 33 m/s (C) 12. p1 = (m1 + m2)v' v' = p'/(m1. Calculate the horizontal component of the acceleration of the block. 25 kg is tied to a string and allowed to revolve in a circle of radius 1. 1 Answer to Two blocks A and B of mass 1kg and 2 kg are connected together by means of a spring and are resting on a horizontal frictionless table. A 12-kg block on a horizontal frictionless surface is attached to a light spring (force constant = 0. The horizontal uniform rod shown above has length 0. A body of mass m is kept on the block. A block of mass m = 4. What magnitude F must have if the block is to remain at constant heightabove the table top?. 85 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. 0 kilo- grams, rest on a horizontal surface. A wedge with mass M rests on a frictionless horizontal table top. A) 120 N B) 0 N C) 160 N D) 150 N E) 200 N 146) 147) Two objects have masses m and 5 m, respectively. 0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2. An object at rest weighs 100 N on earth. Time 1 Frictionless surface I Time 2 Frictionless surface 33. The rope pulls horizontally on block A. 3-kilogram mass is connected to one end of a massless spring, which has a spring CIS). Prove that the coefficient of static friction between the block and the body is [F / (M + m)g ]. A mass m = 4. two small blocks, each of mass, m, are connected by a string of constant length, 4h and negligible mass. At the block is released from rest, it travels upward and then leaves the spring. 0 m on a frictionless, horizontal table. 50 kg with a radius of 0. 8 A 3gram bullet traveling horizontally at 400 m/s hits a 3-kilogram wooden block, which is initially at rest on a frictionless horizontal table. After the collision, mass m 2 has velocity. 0 kg is pulled along a horizontal table by a force of 15 N, which is applied by a light string that passes over a light frictionless pulley, as shown at right. After it is released from rest it moves on a surface which is frictionless until the point x = B. 00-kg mass is attached to one end of the spring, the other end is anchored to the wall. 0 m/s2 then the same force will give the 2. 5 kg is initially at rest at the edge of a 1. The body and spring are placed on a horizontal frictionless surface and rotated about the held end of the spring at 2. Two blocks are free to slide along a frictionless wooden track ABC as shown in below. 00 kg block is placed on top of another block of mass m1 = 12. 00 kg) are pressed together against an ideal massless spring that stores 75. A small block of mass MB = 0. above the deck. 0 cm, find (c) the kinetic energy and (d) the potential energy. Determine the kinetic energy when x = 1 2 x 0. 3 kg, m 2 N1. A wooden block of mass M is initially at rest at the edge of a frictionless table at a height h above the ground. The force constant of the spring is k = 450 N/m. 0 meters per second when it instantaneously hits and sticks to a 1. The velocity of the sledge immediately after the girl jumps off is 4. Its final velocity will be A) m/s B) m/s C) m/s D) m/s E) m/s 8. a) What is the maximum force with which the upper block can be. A light, stretchless string tied to the small block passes down through the hole, and a larger block with mass m2 is suspended from the free end of the string. The mass is then raised to position A and released. 1 • Example: (Fig. An object of mass m 1 = 5:00 kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m 2 = 9:00 kg as shown in Figure P5. It is connected to a 2 kg block that is hanging over the edge of the table (as shown). A constant force `f = 60 N`, is applied. When a body of mass 0. The table top is a distance of 2h above of the floor. If a force applied to an 8. a block of mass M initially at rest on a frictionless horizontal surface is struck by a bullet of mass m moving with horizontal velocity v. A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. A second block with mass m rests on top of the first block. 00 seconds if the mass starts from rest? 12. A block with mass m is placed on the wedge. If the block is slowly moved down the incline (acceleration approximately equal. The block, attached to a massless spring with spring constant k, is initially at its equilibrium position. A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the earth. 0-kilogram lump of clay is propelled horizontally at 6. A second block of same mass m is placed on it and is connected to a spring of spring constant k. The obstacle exerts an impulse of 10. The block is then pulled left a horizontal distance b = 0. The coef of kinetic friction between the two blocks is 0. Figure (6−E12) shows a small block of mass m kept at the left end of a larger block of mass M and length l. 0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2. 5 kg is placed on a rough table (horizontal) and is pulled by a constant force of 1. An object of mass m 1 = 3:80-kgplaced on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m 2 = 7:20-kgas shown in the gure. The frictionless incline is fixed on a table of height H = 2m. It is connected to one end of a string that p es over a massless pulley and has another block of mass 2 hanging from its other end. 4 A block of mass 0. The speed of the block at t = 2 s is (A) 4/3 (E) Created hv Rohin Bhasin and Shrevas Mohan. When released from rest, the heavier block falls 75. The block of mass m 1 = 4. A block is placed at the top of a frictionless inclined plane with angle 30 ˚ and released. Calculate the acceleration of the wedge. There is no friction between the block and the wedge. Chapter 5 378 Becauseax is independent of m and Fg, the critical accelerations are the same. Near the surface of the earth a uniform disk of mass M 1 and radius R is pivoted on a frictionless horizontal axle through its center. 00 kg is attached to a spring of force constant k = 5. Q: A block of mass m 1 = 4. For this problem, let's assume g = 10 m/s2. The coefficient of kinetic friction between the block and the surface is 0. This pendulum is released from rest with the string horizontal. In the above set of figures, a mass is attached to a spring and placed on a frictionless table. An ideal spring of unstretched length 0. Determine the initial speed of the bullet. The diagram depicts two pieces of dry ice on a frictionless table. A massless spring with force constant k = 250 N/m is fastened at its left end to a vertical wall. 0 N) acting parallel to the surface is applied to the block, as shown. 67 10 kg 27 m n Electron mass, 9. A block of mass m1 slides down the frictionless ramp shown below. The block is just in a contact with the free end on an unstretched spring with a spring constant k. The surfaces of the blocks are rough. 10 g and velocity of magnitude 680 m/s strikes and is embedded in the block (the figure). A mass, m1 = 6. 0 kilograms and 2. 3 kg sits on the sloping side of the wedge. 11 10 kg 31 m e Avogadro’s number, 23 1 N 0 6. A force F = 80 N is applied horizontally to the free end of the string. This block is attached to another block of mass m by a cord that passes over a frictionless pulley, as shown above. 0 kg is pulled along a horizontal table by a force of 15 N, which is applied by a light string that passes over a light frictionless pulley, as shown above. 500 kg is released from rest at the top of a curved wedge of mass m2 = 3. Find the distance moved by the two masses before they again come to rest. block Q oscillates without slipping. Q: A block of mass m 1 = 4. Assuming all surfaces are frictionless, What horizontal force F must be applied to the system to achieve this result?. 6 m initially, and then the mass is released from rest. A constant frictional force acts on the block bringing it to rest over a distance of 2 m. The velocity of the sledge immediately after the girl jumps off is 4. se+ (JPêB) b. All surfaces are frictionless. An arrow with mass m and velocity v is shot into the block. A horizontal force F is applied to the axle and the center of mass has an acceleration a. 6 N/cm, is compressed 20. For this problem, assume that the dimensions of the blocks are much smaller than the length of the rod. The spring is released and accelerates the block along a horizontal surface. The other end of the second rope is attached to a 20 kg block also hanging straight down. There is no friction between the block and the wedge. The mass is pulled a distance to the right so that the spring is stretched a distance exttip{x_{ m 0}}{x_0} = 1. For this rough path, the coefficient of friction is μk = 0. After the collision, puck A has a velocity of 0. 120 to the left, and puck B has velocity 0. Part-II The assembly of blocks is now placed on a horizontal, frictionless table (see the figure below). The bullet is stopped in the block. An identical block is at rest on a frictionless, horizontal table placed on the surface of the Moon. In the figure below, block 2 (mass 1. 0 m and a width of 4. If the angular velocity ( ) and the radius (r) are both doubled, the tension in the string will be (A) T0 (B) T0 (C) 2T0 (D) 4T0 (E) 8T0 10. A mass m 2 = 20. (a)Draw free-body diagrams of both objects. What is the maximum compression of the spring? m Mk mv D mk m Mv C k m M Bv k m. The frictionless incline is fixed on a table of height H = 2m. The spring is released and accelerates the block along a horizontal surface. Initially, the spring is stretched through a distance x0 when the system is released from rest. The block lands a distance d from the edge of the table. 12 A force F newtons gives an object with mass M, an acceleration of A. The block of mass m 1 = 4. 2) A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. Two identical blocks of mass m are attached to the ends of a very light string. A prospector pushes a 2030-kg cart with a constant horizontal force of 700 N for 5 s. The surface of the table is a height h above the floor. 0-kilogram lump of clay is propelled horizontally at 6. A mass m 2 = 20. A bullet is fired into a block that is initially at rest at the edge of a frictionless table The bullet remians in the block and after impact the block lands a distance from the bottom of the table?. (a) If a1 and a2 35. The system is released. An object with mass m1=5. The other end of the sprmg is attached to a wall. A block with mass m is placed on the wedge (the figure (Figure 1) (a)). The block is attached to a central pivot point by a spring having elastic constant k and natural (i. What is the velocity of the block as it leaves the incline? c. The coefficient of sliding friction between the truck and the block is. A small block with mass m1 rest on a frictionless horizontal tabletop a distance r1 from a hole in the center of the table. A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the earth. In the diagram. A small block of mass MB = 0. 74 m/s2 d) 2. The block initially at rest on a frictionless, horizontal surface is connected to a spring of force constant 900 N/m. B) Two blocks are connected by astring. 2 kg, and F 3. After the collision M 2 moves in the opposite direction with a velocity - V 2. The pull gradually increases until the block begins to move and continues to increase thereafter. Which block has the greatest average power provided to it between t 5 0 s and t 5 3 s? a) The block of mass m b) The block of mass 2m. 1) Calculate the acceleration of the wedge. Let F be the next force necessary to give Earth-bound block an acceleration of a across the table. 00 kg is released from rest at. 66] A small block of mass ml = 0. 1 • Example: (Fig. After sliding a distance of 2 m, the block makes a smooth transition to a frictionless ramp inclined at an angle of 40o to the hori-zontal. 20 m/s C) 15. Find the maximum distance that the. What is the average power developed while moving the block? a) 24W b) 32W c) 48W d) 96W page 6 Momentum. A weight W is tied to a trolley of mass M by a light string passing over a frictionless pulley. The acceleration of the block at t = 2 s is (C) 2 rn/s2 (D) 8 (E) 12 tn/s2 6. 5 kg as shown in the figure below. If m1 = 3 kg, m2 = 2 kg, and F = 5 N, find the magnitude of the force between the two blocks. The diagram below shows a horizontal 12-newton force being applied to two blocks, A and B, initially at rest on a horizontal, frictionless surface. 0 kg block that rests on a frictionless, horizontal table. Assuming the compression of the spring is negligible until. A block of mass 0. Initially, the spring is stretched through a distance x0 when the system is released from rest. What is the acceleration of the block if the surface is inclined at 20. A mass, M, is hung from a spring and reaches equilib-rium at position B. The two blocks. (B) Determine the magnitude of the contact force between the two blocks. The coefficients of friction are: : sk = 0. Assuming that all collisions are elastic, find the value of m 2 (in. 0-kilogram lump of clay is propelled horizontally at 6. The acceleration of the block at t = 2 s is (C) 2 rn/s2 (D) 8 (E) 12 tn/s2 6. When the sledge is moving on the horizontal region of the snow, the girl jumps off the sledge. The diagram shows a compressed spring between two carts initially at rest on a horizontal frictionless surface. The red block is connected to a green box of mass m by a string that passes over a pulley at the top of the incline. If m1 = 3 kg, m2 = 2 kg, and F = 5 N, find the magnitude of the force between the two blocks. 0 cm, find (c) the kinetic energy and (d) the potential energy. What is the acceleration? A. The magnitude of the block's momentum is A) speed of the box B)mass of the contents of the box C) magnitude of the. An identical block is at rest on a frictionless, horizontal table placed on the surface of the Moon. 50 kg, rests on a frictionless horizontal table so that it is in contact with a spring of negligible mass and spring constant k = 600 N/m. The two objects stick together. A block of mass m = 2kg is released from rest h = 0. 30 kg by a cord through a hole in the table. The coefficient of static friction between the block and the wall is 0. Find the velocity v of the cube as it leaves the blocke Consider two wheels of equal radius R and mass m. Near the surface of the earth a uniform disk of mass M 1 and radius R is pivoted on a frictionless horizontal axle through its center. An object of mass m 1 = 5:00 kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m 2 = 9:00 kg as shown in Figure P5. The radius of the circle is 0. An identical block is at rest on a frictionless, horizontal table placed on the surface of the Moon. 0-kg block initially at rest on a horizontal frictionless surface. 6 N/ m oscillates on a frictionless horizontal surface. A mass, m1 = 6. so it can not lift and its acceleration is zero. To push both blocks at a constant velocity, it takes a force of (a) 12N (b) 24N (c) 36N. A horizontal force of 10 N is then applied to the block. Two masses, m 1 and m 2, are connected by a cord and arranged as shown in the diagram with m 1 sliding along on a frictionless surface and m 2 hanging from a light frictionless pulley. He applies a horizontal force of 50 N on the box. a) On the dot below, which represents the block, draw and label the forces (not components) that act on the block as it. The initial kinetic energy of a block moving on a horizontal floor is 48 J. (a)Draw free-body diagrams of both objects. 85 102 N/m that lies on a horizontal frictionless surface as shown in the figure below. The incline has a height of 15 m and the block has mass 2 kg. A block of mass 2 kg placed on a long frictionless horizontal table is pulled horizontally by a constant force f it is found to move 10 m in the first 2 - 19593…. A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the Earth. Initially, the slab is at rest and the block has a speed vo of 4. 5 kg and rn3 = 2. A block with mass m is placed on the wedge. Determine the velocity of the system of two blocks after the collision. Find the north and east components of the momentum at the end of the 1. A block of mass M = 5. What range of speeds can the mass have before the string breaks? Solution: Reasoning: A mass attached to a string rotates on a horizontal, frictionless table. )if m 2 is held at rest (b). (a) Calculate the acceleration of the wedge and the horizontal and vertical. Both pulleys are frictionless and massless. A small block of mass m and charge Q is placed on an insulated, frictionless, inclined plane of angle ϴ as in the figure. The table has a length L = 2m. A second block of same mass m is placed on it and is connected to a spring of spring constant k, the two blocks are pulled by. The block is then pushed in so that the spring is compressed by 10. A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the Earth. 50 kg, rests on a frictionless horizontal table so that it is in contact with a spring of negligible mass and spring constant k = 600 N/m. Initially, the spring is stretched through a distance x0 when the system is released from rest. A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. If a force applied to the 8. 424 m from the spring’s. If it moves a distance of 10m in the first two seconds,whatis the magnitude of F. Three blocks of identical mass are placed on a frictionless table as shown. For this problem, assume that the dimensions of the blocks are much smaller than the length of the rod. 80 s, and a linear velocity of 0. The other end of the spring is fixed to a wall. Find the acceleration of each block and the. The table top is a distance of 2h above of the floor. If a force F, parallel to the table top, is applied on the block, the body on the block tends to slide backwards. The pulley has no mass and can rotate freely on its axle. 650 m/s to the right; a) what was the speed of puck A before the collision?. Weight of 2 kg mass = 2g = 20 N Weight of 5 kg mass = 5g = 50 N From FBD, 2T = 50 T = 25 N As the weight of 5 kg mass is less than the tension. 0 cm and mass 0. If the blocks are released from rest, what is the velocity of block A when block B has fallen 25. A red block with a mass M = 10 kg is placed on a ramp that has the shape of the 3-4-5 triangle, with a height of 3. The mass is placed on a frictionless incline that makes 30° with the horizontal. A thin, uniform rod of mass M 1 and length L is initially at rest on a frictionless horizontal tabletop. 0 kg is pulled along a horizontal table by a force of 15 N, which is applied by a light string that passes over a light frictionless pulley, as shown above. In a laboratory experiment on friction, a 135-N block resting on a rough horizontal table is pulled by a horizontal wire. The velocity of the block after its 10 m slide down the plane is most nearly A)5 m/s B)10 m/s C)20 m/s D)40 m/s E)100 m/s 7. Air resistance is negligible. The block is moved 8. Two blocks are in contact on a frictionless table. A block P of mass m is placed on a horizontal frictionless plane. (B) Determine the magnitude of the contact force between the two blocks. Block 1 (mass 2. A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. If the coefficient of friction between the block and the surface is 0. 5 kg and rn3 = 2. horizontal acceleration of just the right magnitude, the box will remain at rest with respect to the ramp. One of the blocks is placed on a frictionless table, and the string goes over a pulley so the other mass hangs along the side of the table, as shown below. 3-kilogram mass is connected to one end of a massless spring, which has a spring CIS). This pendulum is released from rest with the string horizontal. 0 meters per second toward the right and a 6. 0 kg is put on top of a block of mass m b =5. A block of mass m1 slides down the frictionless ramp shown below. Block B weighs 710 N. A uniform rod (mass = 2. It is oscillating on a horizontal frictionless surface with an amplitude of 2. 0 kg hangs from. The coefficient of friction between the two blocks is u=. of the block together will be 12/12 = 1 m/s^2 when the force is. 50 kg with a radius of 0. The larger block moves to the right at a speed 2 vo immediately after the collision. Initially, block I (mass = 1. block Q oscillates without slipping. 5vo when it collides with a larger block of mass 1. 25 kg is attached to a vertical massless spring, it is extended 5. The Force is 8 N, and the distance from the start line to the finish line is 1 m. A marble block of mass 1 = 567. The block slides the incline across a frictionless level surface and comes to rest bv compressino a sprin2 through distance x, as shown in the diagram below. The coefficient of kinetic friction µ k between M 1 and the table is less than the coefficient of static friction µ s a. 2 The spring is compressed a distance x0 and 3 a small ball of mass m is launched into the block as shown in the figure below. (a) Determine the work done on the block by the applied force. Initially the block is at rest and the spring has natural length. 0 kg is put on top of a block of mass m b =5. A small block of mass 0. If the masses of the cord and the pulley are negligible, what is the magnitude of the acceleration of the descending block? (_) g/3 (_) Zero (_) 2g/3 (_) g (o) g/4. The coefficients of friction are: : sk = 0. 5 What is the period that corresponds to a frequency of 56. Block B weighs 710 N. Pulling force making an angle " θ " to the vertical is applied on a block of weight "W" placed on a horizontal table. (a) What is the magnitude of the blocks' acceleration?. (a) If a1 and a2 35. A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the Earth. The mass is placed on a frictionless incline that makes 30° with the horizontal. The block's speed reduces with time as it rises, until it comes to a halt, after which it starts sliding downward, just as in the case of a block initially placed at rest. The block is released and strikes the floor a horizontal distance D from the edge of the table. 2 kg is attached to a horizontal spring with a spring constant k = 200 N/m and placed on a horizontal frictionless table. A block with mass 3M connected to a massless rod of length L lies at rest on a fixed frictionless table. 20) A block, of mass M = 0. (B) Determine the maximum speed of the block. (a) The mass is displaced to a position x = A x = A and. Let F be the net force necessary to give the Earth-bound block an acceleration of a across the table. Four times as much b. 7) A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the Earth. The blocks are released from rest. 0 meters per second2 east for 10. A wedge with mass M rests on a frictionless horizontal table top. Initially, the spring is stretched through a distance x0 when the system is released from rest. at rest on a frictionless horizontal surface with a spring compressed between them. 0 kg is put on top of a block of mass m b =5. 00-kg object is dropped vertically on top of the 4. An identical block is at rest on a frictionless, horizontal table placed on the surface of the Moon. The block is spun in a circular path about the pivot point with some angular speed w. If the box starts at rest, what is its speed v after being pushed over a distance d = 10 m? a F = 50 N v0 = 0 d = 10 m v ? m = 100 kg target 2 3. Its free end is attached to a block of mass m=45. A 2-kilogram block is released from rest at the top of a curved incline in the shape of a quarter of a circle of radius R. 6 N/cm, is compressed 20. two small blocks, each of mass, m, are connected by a string of constant length, 4h and negligible mass. The table has a length L = 2m. Which one of the following statements about these objects is correct? 147) 148) A block of mass m sits at rest on. 00-kg object,. 0 m/s (B) 0. A small block of mass 0. 0 kg is pulled along a horizontal table by a force of 15 N, which is applied by a light string that passes over a light frictionless pulley, as shown above. 3, and the surface on which the 8 kg block rests is frictionless. The moment of inertia of the spool about a vertical axis through its center of mass is I 2= 0. Determine the velocity of the system of two blocks after the collision. A constant horizontal force F is applied to m1. 500-kg block, attached to a spring with length 0. A second block of mass M impinges on the system with speed v0, strikes the opposite end of the rod at a right angle, and sticks. A bullet of mass m is moving horizontally with speed vo when it hits a block of mass 100m that is at rest on a horizontal frictionless table, as shown above. The block of mass m 1 = 4. Calculate the maximum weight of block A for which the system will be in equilibrium. 0 N/m after being compressed a distance x1 = 0. Let F be the next force necessary to give Earth-bound block an acceleration of a across the table. The coefficient of kinetic friction between the block and the plane is µ=0. Block 1 with a mass of 500 g moves at a constant speed of 5 m/s on a horizontal frictionless track and collides and sticks to a stationary block 2 mass of 1. A block of mass M is kept is kept on a frictionless horizontal table. 0 N directed at an angle θ = 25. What magnitude F must have if the block is to remain at constant heightabove the table top?. If a force applied to the 8. An identical block is at rest on a frictionless, horizontal table placed on the surface of the Moon. If the incline makes an angle of 30. A force F 0 = 10 {\displaystyle F_{0}=10} N acts on m 2 {\displaystyle m_{2}} at 20° to the horizontal. 0 cm and released from rest, determine (a) the maximum speed of the mass, (b) the speed of the mass when the spring is compressed 1. 00 m down the incline 1 Educator Answer A small block of mass m slides along a friction less loop. Three bodies are lying on a frictionless horizontal table and these are connected by inextinsible and massless strings as shown in the figure. There is no friction C) A coin is ﬂicked up in the air and is on its way up. Initially, the spring is stretched through a distance x0 when the system is released from rest. This system is released from rest. When this system is released from rest, the pulley turns through 1. After the collision, mass m 2 has velocity. A spring, with a spring constant of 100 N/m is attached to the wall and to the block. 20m above the floor. 5° incline and slides 2. Can anyone help me with this problem? A bullet of mass m is moving horizontally with speed Vo when it hits and embeds in a block of mass 100m that is at rest on a horizontal frictionless table (in the diagram it isn't placed at the edge of the table, i don't know if this matters). 0 cm and mass 0. A block with mass m is placed on the wedge (Fig. The pulley is a uniform disk of radius 8. PART-I: To cause the top block to slip on the bottom one while the bottom one is held fixed, a horizontal force of at least 12 N must be applied to the top block. A block of mass is attached to a massless, ideal string. Block 2 of mass m 2 is placed between block 1 and the wall and sent sliding to the left, toward block 1, with constant speed v2i. 4-67) A box of mass = 3. 5M at rest at the bottom of the incline. The surface of the table is a height h above the floor. A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. After the collision, puck A has a velocity of 0. Find the acceleration of each block and the. If the block moves a distance x from the mean position, then Inv 29. Let F be the net force necessary to give the earth-bound block an acceleration of a across the table. 0 m/s to the right. The other e nd of the spring is fixed to a wall. a) What is the maximum force with which the upper block can be. A small block whose mass is m= 1. Since the tension is constant in the string, the object with mass M and the hanging mass m have the same acceleration. 0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2. The coefficient of kinetic friction between the block and the table is μ k. 6x10 4 kg (Table of contents) 7. Mass on Frictionless Incline One of the insights that comes from the setup of this problem is that the force required to push a mass m up a frictionless incline is equal to mgsinθ. Steel block Clay 6. A right triangular wedge of mass M and inclination angle $\theta$ , supporting a small block of mass m on its side, rests on a horizontal frictionless table, as shown in figure. 0 kg lies on a frictionless horizontal table in contact with a 6. • a) Find the magnitude of the acceleration of the block. Assume there is no friction between the bottom block and the table but the coefficient of static friction between the two blocks is 0. Two masses m1 and m2 are connected by a spring of spring constant k and are placed on a frictionless horizontal surface. A mass m on a string of length R is. At the bottom it strikes a block of mass M = 7. A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory on the surface of the Earth. 0-kg block starts from rest on the positive x axis 3. (a) Determine the work done on the block by the applied force. Two identical blocks of mass m are attached to the ends of a very light string. Friction coefficient between two blocks is 0. The right end of the rod is supported by a cord that makes an angle of 30° with the rod. 60 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6390 N/m. The bullet remains in the block, and after impact the block lands a distance d from the bottom of the table. What must the magnitude of F be if the block is to remain at a constant height above the tabletop? - 434948. 5M at rest at the bottom of the incline. 0 N/m after being compressed a distance x1 = 0. 0 ms and the acceleration of the blocks is constant. A small cube of mass m slides down a circular path of radius R cut into a large block of mass M, as shown. The coefficient of kinetic friction between the block and the surface is 0. There is no friction C) A coin is ﬂicked up in the air and is on its way up. A small block of mass MB = 0. For this problem, assume that the dimensions of the blocks are much smaller than the length of the rod. When a horizontal force of 3 N is applied to the block of mass 2 kg. The pulley rotates about a frictionless axle and has a radius R = 0. 40 m along a frictionless horizontal table by a constant 10. Free essays, homework help, flashcards, research papers, book reports, term papers, history, science, politics. After the collision, m1 will travel back up the incline to a height. In the above set of figures, a mass is attached to a spring and placed on a frictionless table. The other end of the spring is attached to a fixed wall. (1998,3) Block 1 of mass m 1 is placed on block 2 of mass m 2 , which is then placed on a table. A block of mass M is kept is kept on a frictionless horizontal table. 34 m 8 · A 3-kg block slides along a frictionless horizontal surface with a speed of 7 m/s (Figure 7-17). The coefficient of kinetic friction between the moving surfaces is 0. (B) Determine the maximum speed of the block. 5 kg as shown in the figure below. If it moves a distance of 10m in the first two seconds,whatis the magnitude of F. There is no friction between the block and the wedge. The system is started towards right with an initial velocity v. Assuming the compression of the spring is negligible until the bullet is embedded, determine the amplitude of the resulting simple harmonic. 0 kg is put on top of a block of mass m 2 = 5. A block of mass mt = 4. Since the tension is constant in the string, the object with mass M and the hanging mass m have the same acceleration. with the mass attached at rest. A block with mass m = 13. 67 10 kg 27 m n Electron mass, 9. 06 m Four blocks are on a horizontal surface. 50 kg is pushed d = 2. A block of mass M is resting on a horizontal, frictionless table and is attached as shown above to a relaxed spring of spring constant k. A block P of mass m is placed on a horizontal frictionless plane. Taking downward as the positive direction for the hanging mass, the acceleration will be Acceleration = m/s². There is no friction between the block and the wedge. An identical block is at rest on a frictionless horizontal table placed on the surface of the Moon. The coefficient of kinetic friction between the block and the surface is 0. Two blocks are in contact on a frictionless table. 5 kg , and block. The block is then pushed in so that the spring is compressed by 10. Note that the force pushing the right block rightward is only the normal force between the blocks, and not the applied force F. The string that attaches it to the block of mass M 2 passes over a frictionless pulley of negligible mass. Block A has mass 13. One rope is attached to each end of the 30 kg block. 9-71) The system shown below consists of a 4. 0 m/s 2 up the plane. The speed of the block after the collision is (A) 1. The block slides down the ramp and is moving with a speed 3. 0 m/s, collides with block 2, and the two blocks stick together. Find the acceleration of each block and the. An identical block is at rest on a frictionless, horizontal table placed on the surface of the Moon. ) Find the tension in the string. 40-kg block of wood at rest directly above it. Block A has a mass of 2. When this system is released from rest, the pulley turns through 1. A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. Block Q oscillates without slipping. Block A has a mass of 1. 31 m: A body of mass m resting on a frictionless surface is given a horizontal acceleration of 4. Note, you have a test coming up pretty soon. The pull gradually increases until the block begins to move and continues to increase thereafter. Its free end is attached to a block of mass m=45. 2012b1 (15 points) Block A of mass 2. Blocks A and B and C are connected by a massless string and placed as shown, with Block A on the upward slope of the 60° incline, Block B on the horizontal surface at the top and Block C on the downward slope of the 60° incline. January 2006, Part 3. Friction and Motion on Inclined Planes Written by tutor Alex F. The attached string is parallel to the incline and passes through a massless frictionless pulley at the top. 0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2. 27 m p Neutron mass, 1. This string wraps around a massless pulley and then wraps around a second pulley that is attached to a block of mass that is free to slide on a frictionless table. Given a mass of kg placed on a horizontal table. 40 between the surface and block A. After sliding a distance of 2 m, the block makes a smooth transition to a frictionless ramp inclined at an angle of 40o to the hori-zontal. When a body of mass 0. 0 N force directed 25. The block is displaced 5. A mass, M, is at rest on a frictionless surface, connected to an ideal horizontal spring that is unstretched. 0 kg lies on a frictionless horizontal table in contact with a 6. In the two cases respectively the ratio of force of contact between the blocks is. What range of speeds can the mass have before the string breaks? Solution: Reasoning: A mass attached to a string rotates on a horizontal, frictionless table. Find the magnitude of F. How much work is done by the force in 2. After it is released, find (a) the acceleration of each of the boxes, and (b) the. The mass exttip{m}{m} = 5. The mass of the spring is negligible. Pulling force making an angle " θ " to the vertical is applied on a block of weight "W" placed on a horizontal table. A horizontal force of 10 N is then applied to the block. A block of mass mt=4. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1. 0 kilograms, rest on a horizontal surface. (a) Determine the work done on the block by the applied force. Find the speed with which m must move in order for M to stay at rest for a radius r. In each case, the mass moves on a frictionless table and is displaced from equilibrium and released. The other end of the spring is attached to the wall. The block is initially at rest at its equilibrium position when a force (magnitude P = 80. 2 kg, and F 3. The pulley is a uniform disk of radius 8. 50 kg is placed on a long slab of mass MS = 3. M 1 M 2 Fig. What is the acceleration of the block of mass M ? (D) For a particular nonlinear spring, the relationship. A block of mass m = 2kg is released from rest h = 0. 40 cm and rotational inertia 7. meters per second, strik&mobstacle. Block Y is in contact with a separate block X. Express your answer in terms of M, m, α, and constant g. The spool starts from rest and the. 40-kg block of wood at rest directly above it. When the blocks released, the block of mass 3m moves to the right with a speed of 2.