A crate is pulled up a straight rough incline of length that makes an angle of with…
PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power
Problem
A 5.0kg crate is pulled up a straight rough incline of length 4.0m that makes an angle of 30∘ with the horizontal. The coefficient of kinetic friction between the crate and the incline is 0.30. Starting from rest at the foot of the incline, the crate reaches the top with a speed of 2.0ms−1 under the action of a single force applied parallel to the incline.
(i) Calculate the work done against gravity during the ascent.
(ii) Calculate the work done against friction during the ascent.
(iii) Determine the minimum external work that must be done by the applied force during the ascent.
(iv) If the ascent takes 5.0s, find the average power developed by the applied force.