An object with mass m1 = 5.00 kg rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 10.0 kg, as shown in Figure P4.36. Find the acceleration of each object and the tension in the cable.FIGURE P4.36

Two blocks connected by a rope of negligible mass are being dragged by a force at a 21° angle above horizontal (see figure below). Suppose F = 117.0 N, m, = 10.0 kg, m, = 26.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.136. Use g=9.8 m/s?. T m2 (b) Determine the acceleration of the system. m/s2 (c) Determine the tension T in the rope. N

Consider two blocks connected . Block A has mass 2.00 kg, and block B has mass 5.00 kg. The table on which B sits is frictionless, the cord connecting the blocks is light and flexible, and the pulley is light and frictionless. The horizontal force F S has magnitude F = 20.0 N, and block B moves to the left with an acceleration of 1.50 m/s2. What is the tension in the cord that connects the two blocks?

A taut massless string connects two boxes as shown in the figure.  The boxes are placed on an incline plane at θ = 33.00.  What is the acceleration of boxes as they move down the incline, given m2 = 1.4 kg, m1 = 5.0 kg, μ2 = 0.10 and μ1 = 0.20.

A 60 kg block slides along the top of a 100 kg block.  The lighter block has an acceleration of 3.8 m/s2 when a horizontal force F= 390 N is applied.  Assuming there is no friction between the bottom 100 kg block and the horizontal frictionless surface but there is friction between the blocks.  Find the acceleration of the 100 kg block during the time the 60 kg block remains in contact.

54. Objects of masses m, = 4.00 kg and m, = 9.00 kg are connected by a light string that passes over a fric- tionless pulley as in Figure P4.54. The object m, is held m at rest on the floor, and m, rests on a fixed incline of 0 = 40.0°. The objects are released from rest, and m, slides 1.00 m down the incline in 4.00 s. Determine (a) the acceleration of each object, (b) the tension in the string, and (c) the coefficient of kinetic friction between m, and the Figure P4.54 incline.

Two skaters are on an icy pond (no friction). They have masses m1 = 65.0 kg and m2 = 80.0 kg. They are each holding one end of a rope. The heavier skater starts exerting a force of F = 125 N. The rope tautens so that it has a tension T. What is the acceleration of each skater, and what is the tension in the rope?

A 30.7 kg girl and a 59.8 kg boy are on the surface of a frozen lake, 10.5 m apart. Using a rope, the girl exerts a horizontal 4.20 N force on the boy, pulling him toward her. Calculate the magnitude of the girl's acceleration.

A 4 kg block is sliding down a vertical wall while being pushed by an external force as shown in the figure. What is the magnitude of the acceleration of the block (in m/s2) if the coefficient of kinetic friction between the wall and the block is uj, = 0.20 and the magnitude of the external force is 20 N? 4 kg 30 X 8.8