2-6.
A crate of 
starts from rest due
to a random force 
, after the crate has traveled a distance of 
, its velocity is 5 m/s. If the coefficient of kinetic
friction between the crate and the ground is 
, determine the distribution
of P. Assume m and P are independent.
Solution
Free-Body Diagram: Referring to the free-body diagram of the crate, we have
Principle of Work and Energy: Referring to the free-body
diagram, only P and 
do work. P does positive work and does negative work.
Thus we have
Therefore, 
.
Ans.