Answer the following questions. Show your solution and draw free diagram in each question.

Two boxes m =9.6 kg and m, are connected by a light string that passes over a frictionless pulley and rest on both sides of a frictionless inclined plane as shown in the figure below. If the angle of the inclined where m, rest is 8=55.5, what is the mass of m? 90 ma 3 a B O 6.60 kg O 11.65 kg O 13.97 kg O 5.59 kgA man is to push an initially at rest 19.4 kg piano a distance of d=2.22 m from the bottom to the top of a frictionless surface inclined at 6:19.8 above the horizontal. The speed of the piano when it reaches the top of the incline is 1.63 m/s. If the force applied by the man is parallel to the incline, what is the magnitude of that force? /' O 52.3 N O 64.4N O 76.0N O 11.6N A 2500 kg jeep navigates a curved road of radius 45.6 m that is banked at 15.5 above the horizontal. If the coefficient of static friction between the tires of the jeep and the road is 0.34, what should be the maximum allowable speed that the jeep can navigate through the banked curved without skidding off during a regular sunny day? O 16.3 m/s O 16.8 m/s O 11.1 m/s O 12.3 m/sA shopper pushes a 7.7 kg cart at constant of 1.20 mls speed along a rough horizontal surface by applying a force of 22.9 N at an angle of 35.4n below the horizontal. What is the coefficient of kinetic friction between the cart and the surface? O 0.300 O 0.210 O 0.247 O 0.303 Consider the three boxes m. =8.86 kg, m=11.8 kg and m =4.16 kg which are connected by massless cords passing over frictionless pulleys. The box m, rests on a frictionless tabletop while box m and box m are suspended at the ends of the cords connected to box m . What is the magnitude of acceleration and direction of motion of box m. when the system is released from rest? mb ma mc O 2.79 meters per second squared, upward 1.86 meters per second squared, upward 1.86 meters per second squared, downward O 2.79 meters per second squared, downward