The same power P is delivered to two systems over times t and 2t, respectively. As a result of power delivered the objects get elevated at constant speed. What is the ratio of the heights, to which the object raises?
A) 0.5
B) 2
C) 0.25
D) 4
E) 1

Question

Quizplus · Accepted Answer

Power = Work/Time, and work = force × distance. When the same power is delivered to two systems, the amount of work done will be equal. Since work = force × distance, and the force applied is equal in both cases, the distance traveled by each object will be proportional to the time taken. Therefore, the ratio of heights to which the objects are elevated will be proportional to the time taken, which is 2t/t = 2. Thus, the answer is 2.

The Same Power P Is Delivered to Two Systems Over