Inclined Planes with Friction Practice Problems

A small metallic box is projected up along a smooth inclined plane with a speed of 2.0 m/s. The length of the incline is 20 cm, and its height is 5.0 cm. Calculate the box's speed at the summit of the incline.

A 13.0 kg wooden block rests on a ramp. The block slides down the incline when the minimum incline plane angle is θ. The friction coefficients are static friction coefficient = 0.41 and kinetic friction coefficient = 0.29. Determine the value of θ, then compute the acceleration at this angle once the block begins moving.

The students in a physics laboratory class have an experiment on the motion of objects on inclined planes. They considered a crate as their object. It was released from rest at the top of a smooth ramp. The crate is subject to constant acceleration as it moves down, and the speed after it has traveled 3.40 m to the bottom of the ramp is 2.25 m/s. Calculate the speed of the crate when it has reached 1.70 m from the top of the ramp.