Two students are sliding a 34.3 kg mass upa 36.2 degrees ramp. Both are exerting their forces parallel to the surface. One student is at the top of the ramp, pulling the mass up it via a rope with a force of 254 N. The other students is pushing the mass up the ramp, using a force of 176 N. The cofficient of kinetic friction is 0.431. Determine the acceleration of the mass.

A 25.1 kg mass is sliding to the right along a horizontal surface, beign pulled by a force of 152 N that directed up-and-to-the-right at 31.3 degrees above horzontal. The coefficient of kineticfriction is 0.329. Find the acceleration of the mass.

In the figure provided, a crate of mass m sits at rest on a 20° ramp and is connected to another crate of mass 1.80 kg by a rope and pulley. If the coefficient of friction is μk = 0.570 and μs = 0.850 with the surface, what acceleration will the mass m have if it is slightly nudged and begins to be pulled up the ramp? Assume the rope and pulley are massless.

Two blocks are arranged as below, connected together by rope and pulley with m1 = 3.50 kg and m2 = 7.00 kg. The coefficient of kinetic friction between all surfaces is 0.250. The top block is pulled to the right with a force F = 69.2 N. What is the acceleration of the top block?

A 2.45 kg box, starting from rest, slides down a 6.70 m long ramp inclined at 27.5o from the horizontal. Halfway down the ramp, it hits a second box, with a mass of 1.40 kg. The two boxes stick together and slide the rest of the way down the ramp. The coefficient of kinetic friction between the ramp and the boxes is 0.150. How fast are they going when they reach the bottom?

m The object of mass m = 3 kg is at the bottom of the incline, which is at the angle e = 55° with respect to horizontal. The object has initial speed of vo = 5 m/s and begins slide up the incline. There is a friction between the object and the incline. The coefficient of kinetic friction is uk = 0.25. The object moves up the incline and eventually stops under the influence of friction and its own weight. Find: (a) how high up the incline (in m, relative to its original position) the object slides before stopping (careful here - your answer is the height, i.e. the vertical distance between object's final position and the ground); (b) work in J) done by the kinetic friction when the object moves up the incline (careful with the sign); (c) work in J) done by the normal force when the object moves up the incline; (d) work in J) done by the gravity when the object moves up the incline (careful with the sign); (e) when the object reaches the highest point on the incline it begins to slide back down, find object's speed (in m/s) at the bottom of the incline.