A block of mass m1 = 40 kg on a horizontal surface is connected to a mass m2 = 16.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.23. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass?   (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass.

The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.1 kg; block 2 has mass m2 = 2.1 kg. What are (a) the magnitude of the blocks' acceleration and (b) the tension in the cord? (a) Number i Units (b) Number i Units >

A block of mass m1 = 3.41 kg on a frictionless plane inclined at angle 0 = 26.1° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.37 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord? %3D (a) Number i Units (b) Number i Units > >

Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block m2 and the horizontal surface of the table. If the block m₁ moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m₁, m2, and m3, the coefficient of kinetic friction between block m₂ and the table, uk, and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation. m1 mq m3

Two teams of nine members each engage in a tug of war. Each of the first team’s members has an average mass of 61 kg and exerts an average force of 1359 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1363 N horizontally.  (a) What is the acceleration of the two teams? Give this as a positive value. (b) What is the tension in the section of rope between the teams?