A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.5 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are ls = 0 Hk = 0.22. (a) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 8.0 N. N (b) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 10.0 N.

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 block that weighs 60 N is intially at rest on a horizontal surface. A horizontal force F1 of magnitude 22 N and a vertical force F2 are then applied to the block. The coefficients of friction for the block and the surface are us = 0.50 and uk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of F2 is (a) 10 N, (b) 20 N

A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal. The coefficients of friction are: μk = 0.36 and μs = 0.396. Another block with mass m2 = 15.5 kg is attached to the first block. The new block is made of a different material and has a greater coefficient of static friction. What minimum value for the coefficient of static friction is needed between the new block and the plane to keep the system from accelerating?

A car (m = 1600 kg) is parked on a road that rises 12° above the horizontal. What are the magnitudes of (a) the normal force and (b)the static frictional force that the ground exerts on the tires?

A car (m = 1630 kg) is parked on a road that rises 11° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires?

A 5.80 kg box is sliding across the horizontal floor of an elevator. The coefficient of kinetic friction between the box and the floor is 0.450. Determine the kinetic frictional force that acts on the box for each of the following cases.(a) the elevator is stationary N(b) the elevator is accelerating upward with an acceleration whose magnitude is 2.20 m/s2 N(c) the elevator is accelerating downward with an acceleration whose magnitude is 2.20 m/s2 N

A block with a mass of 4.83 kg is at rest on an inclined surface. The surface makes an angle of  27.9° relative to horizontal. The coefficients of static and kinetic friction are 0.740 and 0.380 respectively. The block remains at rest. What is the magnitude of the frictional force that acts on the block?

Problem 6. A 6.0kg block is placed on top of a 9.0kg block. A horizontal force of 50.0N is applied at an angle to the 9.0kg block, and the 6.0kg block is tied to the wall by a rope. The coefficient of kinetic friction between the two blocks is 0.25, and the coefficient of friction between the 9.0kg block and the ground surface is 0.30. (a) Draw a free body diagram for each block and identify the action-reaction forces between the blocks. (b) Determine the tension in the rope. (c) Determine the magnitude of the acceleration of each block. 6.0kg F = 50.0N 15° 9.0kg

A 620  kg packing crate is being pulled up a 16 degrees-inclined plane by a rope. The rope is parallel to the incline. The coefficient of kinetic friction is 0.3. (a) What is the size of the normal force acting on the crate? N (b) What is the size of the kinetic friction force acting on the crate? N (c) What is the size of the tension force if the crate is moving with constant velocity?