A sled and rider have a total mass of 52.5 kg. They are on a snowy hill. The coefficient of kinetic friction between the sled and the snow is 0.180. The angle of the hill's slope measured upward from the horizontal is 16.0°. What is the acceleration of the rider?

Two roofers are installing a new roof. Bob is sitting on the top of the roof that is angled at 23.5 degrees from the horizontal. Nate is sitting 4.1 m further down the roof. In order to get a box of shingles to Nate, Bob just slides the box directly down to him. If the coefficient of kinetic friction for the box and roof is 0.5, then with what speed should Bob initially push the box so that it slides to a stop right as it reaches the Nate?

In an exciting game, a baseball player manages to safely slide into second base. The mass of the baseball player is 87.3 kg and the coefficient of kinetic friction between the ground and the player is 0.45. (a) Find the magnitude of the frictional force. N (b) It takes the player 1.8s to come to rest. What was his initial velocity? m/s

You are at the grocery store pushing on a shopping cart. The mass of the cart including all the delicious food you will buy is 22.0 kg. The coefficient of friction between the floor and the wheels of the shopping cart is 0.22. In order to accelerate the cart to 2.20 m/s from rest in 2.20 m, what force must you apply to the cart?

A 2.60 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 7.29 N and a vertical force P are then applied to the block (see the figure). The coefficients of friction for the block and surface are us = 0.4 and Pk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P is (a)6.00 N and (b)8.00 N. (The upward pull is insufficient to move the block vertically.) (a) Number Units (b) Number Units

You are driving through the Ouachita Mountains at 12m/s. You see a maple-leaf oak (Quercus acerifolia) crossing the road and hit the brakes, 20m away. The coefficient of kinetic friction between your tires and the road is μ_k = 0.7. Will you strike this endangered broadleaf? Justify your answer with a calculation.Your final answer should be the distance you will travel before coming to a stop.

A man wants to move a heavy wooden crate (82 kg) across a wooden floor.  However, since he is taller than the crate, he must pull it using a rope that makes an angle of 42 degrees with the horizontal.  He exerts a force of 312 N as he pulls.  What is the Normal Force exerted by the floor on the crate? What is the size of the Friction Force felt by the crate, if the crate moves at a constant speed in a straight line? Imagine that instead the floor is more slick, so that the crate feels a friction force half of what you calculated above.  What is the crate’s acceleration?

Two crates of fruit  are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of  an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg.  The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?

A book slides across a level, carpeted floor with an initial speed of 3.85 m/s and comes to rest after 3.75 m. Calculate the coefficient of kinetic friction μ between the book and the carpet. Assume the only forces acting on the book are friction, weight. and the normal force. H =

A sled of mass 96 kg is being pushed up a slope with an applied force of 862 N. The slope is inclined with an angle of 36 degrees with respect to the horizontal. The coefficient of friction between the sled and the hill is 0.26. The acceleration of the crate (in m/s2) is: