Is it possible to do work on an object without changing the kinetic energy of the object? Now Why? a) Yes, it is possible by raising the object to a greater height without acceleration.
b) Yes, it is possible by raising the object to a greater height with acceleration
c) Yes, it is possible by moving the object without acceleration at the same height.
d) Yes, it is possible by moving the object with acceleration at the same height.

(a) Yes, it is possible by raising the object to a greater height without acceleration.

Explanation:

The work-energy theorem states that work done on an object is equal to the change in kinetic energy, and change in  kinetic energy requires a change in velocity.

If kinetic energy will not change, then velocity will not change, this means that there will be constant velocity and an object with a constant velocity is not accelerating.

If the object is not accelerating (without acceleration) and it remains at the same height (change in height = 0, and mgh = 0).

Thus, for work to be done on the object, without changing the kinetic energy of the object, the object must be raised  to a greater height without acceleration.

Correct option is " (a) Yes, it is possible by raising the object to a greater height without acceleration".

hi there!

out of the two, (b) precision would be more reasonable.   however, both a and b could be pretty reasonable.

-awesomerepublic   : )