A 3200 kg roller coaster car descends from rest at the top of a steep section of track 82 m high. What is the speed of the car at the bottom of the track?

On board the starship Serenity, Captain Mal has two boxes connected together by a cord that passes over a massless, frictionless pulley mounted on the ceiling of the storage bay. The first box has a mass of 252.0kg and the second box has a mass of 278.0kg. If the 278.0kg box starts off at rest 2.60m above the ground, find the speed of the box when it reaches the ground. Assume the gravity on Serenity is 9.80m/s2.

A 9.0-kg bunny slides from rest down a frictionless incline from a height of 5.0 m. A constant frictional force, introduced at point A, brings the bunny to rest at point B, 19 m to the right of point A. What is the Speed of the bunny before it reaches point A? What is the coefficient of kinetic friction, µk, of the surface from A to B?

A 145 kg crate slides down a ramp, starting from rest. The ramp is inclined at an angle of 20.6 degrees with respect to the horizontal and has a height of 1.74 m. The crate is placed on frictionless casters so that it slides down the ramp without friction. What is the final speed of the crate (in m/s) just as it reaches the bottom of the ramp? Use g = 9.81 m/s?.