Work Energy and Power - Result Question 38

41. A body projected vertically from the earth reaches a height equal to earth’s radius before returning to the earth. The power exerted by the gravitational force is greatest [2011]

(a) at the highest position of the body

(b) at the instant just before the body hits the earth

(c) it remains constant all through

(d) at the instant just after the body is projected

Show Answer

Answer:

Correct Answer: 41. (b)

Solution:

  1. (b) Power exerted by a force is given by $P=F . V$

When the body is just above the earth’s surface, its velocity is greatest. At this instant, gravitational force is also maximum. Hence, the power exerted by the gravitational force is greatest at the instant just before the body hits the earth.