Consider the two-body situation at the right. A 3.50x103-kg crate (m1) rests on an inclined plane and is connected by a cable to a 1.00x103-kg mass (m2). This second mass (m2) is suspended over a pulley. The incline angle is 30.0° and the surface has a coefficient of friction of 0.210. Determine the acceleration of the system and the tension in the cable.

Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.

Two objects are connected by a massless cable passing over a frictionless pulley. Object A is positioned on a table, while object B hangs freely. The coefficient of kinetic friction between object A and the table is 0.09950. If the mass of object A is 150 kg, and the mass of object B is 238 kg, what is the acceleration of the objects?

A car of mass m₁ 1000 kg is connected to a trailer of mass m2 = 400 kg by a taut inextensible cable. The car's engine provides a constant forward driving force Fx = 7000 N, which causes the car-plus-trailer to accelerate forwards along the horizontal x-axis. The tension of the cable produces a force on the trailer and also a force on the car. You may assume that the magnitude of the two forces is the same. You may also ignore friction. What is the tension in the cable joining the car to the trailer? Give your answer by entering a number, correct to an appropriate number of significant figures, in the empty box below.