Question

A block of mass 2kg is placed on a trolley of mass 20 kg free to move on a frictionless floor. What are the frictional force, accelerations of the block and trolley if the block is pulled by a force of 3 N ? The coefficient of friction between block and trolley is 0.25. What will be the values of all three if the block is pulled by 8 N force ? At what value of the applied force will the bodies just tend to separate ?
[Hint : So long as the force applied does not produce the limiting frictional force the two will move with common acceleration. When the force applied exceeds that limiting value the block will move on the trolley with a different acceleration]

Answer 1

Correct Answer - `2.73 N,0.136 ms^(-2),0.136 ms^(-2)`,4.9 N,1.55 ms^(-2),0.245 ms^(-2),5.39 N`