Randall D. Knight — Work and Kinetic Energy: Problem 44

a. Starting from rest, a crate of mass \( m \) is pushed up a frictionless slope of angle \( \theta \) by a horizontal force of magnitude \( F \). Use work and energy to find an expression for the crate’s speed \( v \) when it is at height \( h \) above the bottom of the slope. b. Doug uses a 25 N horizontal force to push a 5.0 kg crate up a 2.0-m-high, 20° frictionless slope. What is the speed of the crate at the top of the slope?