Multiple-object systems with friction: Two boxes are connected by a weightless cord running over a very light frictionless pulley as shown in the figure. Box A, of mass 8.0 kg, is initially at rest on the top of the table. The coefficient of kinetic friction between box A and the table is 0.10. Box B has a mass of 15.0 kg, and the system begins to move just after it is released. A B (a) Draw the free-body diagrams for each of the boxes, identifying all of the forces acting on each one. (b) Calculate the acceleration of each box. (6.1 m/s²) (c) What is the tension in the cord? (56 N)

Multiple-object systems with friction: Two boxes are connected by a weightless cord running over a very light frictionless pulley as shown in the figure. Box A, of mass 8.0 kg, is initially at rest on the top of the table. The coefficient of kinetic friction between box A and the table is 0.10. Box B has a mass of 15.0 kg, and the system begins to move just after it is released. A B (a) Draw the free-body diagrams for each of the boxes, identifying all of the forces acting on each one. (b) Calculate the acceleration of each box. (6.1 m/s²) (c) What is the tension in the cord? (56 N)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Consider the system shown in Fig.. The rope and pulleyhave negligible mass, and the pulley is frictionless. Initially, the 6.00 kg block is moving downward and the 8.00 kg block is moving to the right, both with 1.50 m/s. Both blocks stop after moving 1.00 m. What is the coefficient of kinetic friction between the 8.00 kg block and the tabletop? (Assuming no air resistance)
A basketball player of mass m=88.4 kg jumps straight up for a ball. To do this, he lowers his body d1=0.44 m, then he accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a speed sufficient to carry him d2=0.56 m above the floor. Write an expression for the speed v with which the basketball player leaves the floor. Write an expression for the speed v with wiich the basketball player leaves the floor. Write an expression for the acceleration, a, of the basketball player during the leg-straightening. Write an expression for the force upward force, FN, exerted on the basketball player by the floor during the leg straightening. What is the magnitude, in newtons, of the force FN while the player is straightening his legs?
A 2.50 kg box sits halfway up a 16.0 m long ramp that is inclined at an angle of 16.00. You shove a second box, of mass 1.50 kg, that's at the bottom of the ramp, so that it starts sliding up the ramp with a speed of 20.0 m/s. It hits the first box, sticks to it, and they both continue to slide up the ramp. The coefficient of kinetic friction between the boxes and the ramp is 0.200. Where, from the bottom of the ramp, do they come to rest?
The figure shows a 100-kg block being released from rest from a height of 1.0 m. It then takes 0.64 s for it to reach the floor. What is the mass m of the block on the left? There is no friction or mass in the pulley, and the connecting rope is very light.
A light plane of mass 1200 kg makes an emergency landing on a short runway. With itsengine off, it lands on the runway at a speed of 35 m/s. A hook on the plane snags acable attached to a 130 kg sandbag and drags the sandbag along. Now you can consider thesystem as a combined mass along with the sandbag and the plane.Now, the coefficient of friction between the sandbag and the runway is μk = 0.4, and also theplane’s brakes give an additional retarding force of magnitude 1400 N. So our target for thisproblem is to find how far does the plane go before it comes to stop.Assume, when the plane snags the sandbag, the collision is instantaneous.[Hints Think carefully whether you can apply conservation of momentum or not] Find the time when the plane along with the sandbag will come to stop.[Hints: Think about whether the system (sandbag and the plane) will accelerate or decelerate.]
A light plane of mass 1200 kg makes an emergency landing on a short runway. With itsengine off, it lands on the runway at a speed of 35 m/s. A hook on the plane snags acable attached to a 130 kg sandbag and drags the sandbag along. Now you can consider thesystem as a combined mass along with the sandbag and the plane.Now, the coefficient of friction between the sandbag and the runway is μk = 0.4, and also theplane’s brakes give an additional retarding force of magnitude 1400 N. So our target for thisproblem is to find how far does the plane go before it comes to stop.Assume, when the plane snags the sandbag, the collision is instantaneous. (a) Find the speed of the plane and sandbag immediately after the collision. (b) Find the time when the plane along with the sandbag will come to stop. (c) Find how far the plane goes before it comes to stop.
A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The block travels a distance 0.508 m down the incline in 2.00 s. The 0.200 kg block is replaced by a 0.400 kg block. If the 0.400 kg block is released from rest at the top of the incline, how far down the incline does it travel in 2.00 s?
A block of mass m resting on a 20 degree slope. The block has coefficients of friction us = .64 and uk = .54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at the rest when it is released from rest?
Problem 16: A 50 kg block and a100 kg block are connected by a string as shown in the figure. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between the 50 kg block and the incline is 0.250. Find the speed of the 100 kg block after it has fallen 1.5 m, causing the 50 kg block to move from position A to B. 50.0 kg 37.0⁰ A 100 kg
The figure shows a block of mass m resting on a 20o slope. The block has coefficients of friction us=0.64 and uk=0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?
Your cat "Ms." (mass 7.00 kg) is trying to make it to the top of a frictionless ramp 2.00 m long and inclined upward at 30.0 ° above the horizontal. Since the poor cat can't get any traction on the ramp, you push her up the entire length of the ramp by exerting a constant 100 N force parallel to the Part A If Ms. takes a running start so that she is moving at 2.40 m/s at the bottom of the ramp, what is her speed when she reaches the top of the incline? Use the work-energy theorem. ramp. m/s
A skateboarder of mass m on a halfpipe of ra- dius R starts from rest at the top and skates down the halfpipe. At some angle 0, he passes over a force sensor that reads some value No. De- termine his speed v as he passes over the force sensor in terms of m, g, R, No, and 0.