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Two blocks are connected by a string over a frictionless, massless
pulley such that one is resting on an inclined plane the other is
hanging over the top edge of the plane as shown. The hanging
black has a mass of 16.0 kg and the one on the plane has a mass of
8.0 kg. The coefficient of kinetic friction between the block and the
inclined plane is 0.23. The blocks are released from rest.
a. What is the acceleration of the blocks? (Hint: think about
acceleration of the system)
b. What is the tension in the string connecting the blocks
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- A B Let's revisit a previous problem and add the force of friction. In the figure, block A has a mass of 2.67 kg. It rests on a smooth but not frictionless horizontal table and is connected by a very light horizontal string over an ideal pulley to block B, which has a mass of 2.82 kg. The coefficient of kinetic friction between block A and the table is 0.210. When block B is gently released from rest, how long does it take block B to travel 0.713 m? Be sure all quantities are expressed in standard units before calculating anything. Report your answer in seconds.Two blocksmịand m2 connected by a rope are being pulled by a horizontalforce F equal 160 N. Suppose that mį=10 kg,20 kg, and the coefficient of kineticm 2 =20 kg10 kgfriction between each block and the surfacem1is 0.52.A. Draw free-body diagrams of both objects.B. Find the acceleration of the systemC. Find the tension in the ropeD. What is the distance that the system ( two masses) will travel if youknow that are started from rest and final velocity is 4.5 m/sec(B) a= { FTwo Blocks having mass m=11.0 kg are connected by a light string passing through two pulleys as shown. The block on the left is resting on an inclined plane of angle 0=45.0° . The pulleys and the planes on which the blocks are resting are frictionless. The blocks are released from rest and allowed to move freely. a. Draw the free body diamgrams for each block and then write down newton's second law of motion for each one separately. b. Find the acceleration of the blocks and the tension in the string.
- A B Let's revisit a previous problem and add the force of friction. In the figure, block A has a mass of 2.67 kg. It rests on a smooth but not frictionless horizontal table and is connected by a very light horizontal string over an ideal pulley to block B, which has a mass of 3.28 kg. The coefficient of kinetic friction between block A and the table is 0.2. When block B is gently released from rest, how long does it take block B to travel 0.983 m? Note: Be careful! Be sure all quantities are expressed in standard units before calculating anything. Report your answer in seconds.t The center of mass of the arm shown in the figure is at point A. Find the magnitudes (in N) of the tension force F, and the force F which hold the arm in equilibrium. (Let 8 = 24.0º.) Assume the weight of the arm is 44.7 N. S 0 8.00 cm N e N 29.0 cm. FA meter stick has a mass of 0.30 kg and balances at its center. When a small chain is suspended from one end, the balance point moves 12.0 cm toward the end with the chain. Determine the mass of the chain. 0 x Determine a convenient place for the origin of the coordinate system. See if you can write an expression for the center of mass of the two objects in terms of known quantities and the mass of the chain and then solve for the mass of the chain. g Submit Answer
- You are in a rocketship in deep space accelerating upwards with acceleration A. At the top of an inclined plane in the rocketship, you place a block of mass m. The length of the incline is L. If you let go of the block, what is the time taken by the block to reach the bottom of the incline? θ is the angle that the incline makes with the horizontal, and you make sure that the incline cannot move. Assume no friction.A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a. a. Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g. b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity. c. If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons? d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?A teenager of mass m1 = 56 kg pushes backwards against the ground with his foot as he rides his skateboard. This exerts a horizontal force of magnitude F foot = = 18.5 N. The skateboard has m2 = 2.6 kg. a. Write an expression for the magnitude of the horizontal component of force that the ground exerts on the teenagers foot, F ground. b. Write an expression in terms to given quantities for the magnitude of the skateboard acceleration, a , while the teenager is pushing backwards on the ground? c. What is the numerical value of the magnitude of the acceleration, a, in m/s square?
- A 15.0 kg load of bricks hangs from one end of a rope that passes over a small, frictionless pulley. A 28.0 kg counter weight is attached to the other end of the rope, as shown in the figure. You may model the rope as a massless string. The system is released from rest. A. Draw two freebody diagrams, one for the load of bricks and one for the counter weight. B. Find the magnitude of the upward acceleration of the load of bricks. 28.0 kg C. What is the tension in the rope? D. How does the tension compare to the weight of the bricks and the weight of the counter weight? 15.0 kgA system comprised blocks, a light frictionless pulley, and connecting ropes is shown in the figure. The B block has a mass of 9.3 kg and is on a perfectly smooth horizontal table. The surfaces of the A block, which has a mass of 8.2 kg, are rough, with Hk = 0.25 between the block and the table. If the C block with mass 9.9 kg accelerates downward when it is released, find its acceleration. A B C.