A force F applied to an object of mass m causes it to move in a straight line a distance D during an interval of time T. The object gains kinetic energy K during this interval. In which of the following cases will the object gain the same kinetic energy K?

Question

A) A force F is applied to an object of mass 2m during a time interval T
B) A force F is applied to an object of mass 2m as it travels a distance D
C) A force 2F is applied to an object of mass 2m during a time interval T
D) A force 2F is applied to an object of mass 2m as it travels a distance D

Answer 1

work done = F D = gain in Ke
Now which of those has the same force times distance (time has nothing to do with it)? We are not doing power, just energy.) The heavier mass will just end up moving slower if they started at rest but will have the same gain in Ke.