A 100-kg box is pulled by a rope in the direction 200 above the horizontal. The box is moving in the horizontal direction with an acceleration of 0.50 m/s2 and the coefficient of kinetic friction between the box and the horizontal surface is 0.25. Find the force on the rope.

A 42.0 kg box on a horizontal surface is being pulled by a horizontal force F= 110N. If the acceleration of the box is 1.20 m/s^2, what is the coefficient of kinetic friction between the box and the surface?

A man wants to accelerate a child on a sled. The combined mass of the child and the sled is 30.0 kg, and the coefficient of kinetic friction between the snow and the sled is 0.150. In case (1), the man applies a force of 200.0 Newtons at an angle of 30.0˚ below the horizontal. In case (2), he applies the same force at an angle of 30.0˚above the horizontal. What is the acceleration of the sled in each case?

A 6.00 kg box is pulled horizontally with a 40.0 N force that makes an angle of 50.0° with the horizontal. The coefficient of kinetic friction between the surface and the box is 0.230. Calculate the magnitude of the normal force and the acceleration of the box.

A block of mass = 50.0 kg is being dragged at a constant velocity across a floor by a strong person pulling it with a rope. The rope makes an angle of 300 with the horizontal. The tension in the rope is 50.0 Newtons. Assume a real floor, with friction. What is the coefficient of kinetic friction between the box and the floor?

A block with a mass of 6.47 kg is on a horizontal surface that has friction. A string is pulling horizontally on the block with a force of 16.1 N at an angle of 19° above horizontal. The block is movingalong the surface  at a constant speed of 5.53 m/s. What is the coefficient of the kinetic friction between the surface and the block?

A skier is pulled up a slope at a constant velocity by a tow bar. The slope is inclined at 25.0° with respect to the horizontal. The force applied to the skier by the tow bar is parallel to the slope. The skier's mass is 55.0 kg , and the coefficient of kinetic friction between the skis and the snow is 0.120. Find the magnitude of the force that the tow bar exerts on the skier.

A 25.0 kg box of textbooks rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0.250, and the coefficient of static friction is 0.350.   At this angle, find the magnitude of the acceleration once the box has begun to move. Express your answer with the appropriate units.

Two children are pulled on a sled over snow-covered ground. The sled is pulled by a rope that makes an angle of 35° with the horizontal. The children have a combined mass of 45 kg and the sled has a mass of 5.0 kg. The coefficients of static and kinetic friction are u, = 0.20 and µ, = 0.15. Calculate the maximum possible force of static friction between the sled and snow. If the tension in the rope is 95 N, will the sled move? Justify your answer.

A 945.0kg car traveling rightward at 22.6 m/s slams on the brakes and skids to a stop (with locked wheels). If the coefficient of friction between tires and road is 0.9710, determine the force of friction. Force =