Question

The force acting on a body is inversely proportional to its speed. The kinetic energy of the body is:

• A. constant
• B. inversley proportional to time
• C. directly proportional to time
• D. none of the above

Answer 1

The correct option is C directly proportional to time

Given that $F\propto \frac{1}{v}⟹F.v=constant⟹Power=constant$
Hence the power given to the system is constant.
$\therefore$ Kinetic energy of the system will be directly proportional to time.