What will be the power in case of a force acting perpendicular on a body?

Kindly consider the following Image 

Power calculations can also differ based on the nature of forces, which are as follows:

• Conservative Forces: Here, work done is path-independent. e.g., gravity, spring force
• Non-Conservative Forces: Work depends on the path. e.g., friction

In simple words,

Energy = total work done on an object.

Power = how fast the work is done on an object.

For example: Writing an article vs how fast you write the article. This sums up the exact meaning of both these terms.

No. Even if the power is higher, the energy can be inefficient. This happens when much of the energy generated gets wasted or isn't utilized as effectively as it should have been. In such cases, high power can still lead to inefficiency of energy.