A worker forgets to tie down an empty cage with mass M on a freight train that is traveling in a straight line down a level track with an initial speed of 20 m/s. The coefficient of static friction between the cage and the floor of the freight car is 0.52.
a. Draw a free body diagram of the cage on the freight car that includes the initial velocity and acceleration:
b. Find the minimum distance the train can come to a stop without the cage sliding on the car: