Q.32 Two bodies of unequal mass are moving in the same direction with equal kinetic energy. The two bodies are brought to rest by applying retarding force of the same magnitude. How would the distance moved by them before coming to rest compare?

Hint: Use work-energy theorem.
Step 1: Interpret the answer by applying the work-energy theorem.

According to the work-energy theorem,

Change in KE = Work done by the retarding force
KE of the body = Retarding force x Displacement

As KE of the bodies and retarding forces applied to them are the same, therefore, both bodies will travel equal distances before coming to rest.