Work Energy And Power Question 186

Question: A car of mass ?m? is driven with acceleration ?a? along a straight level road against a constant external resistive force ?R?. When the velocity of the car is ?V?, the rate at which the engine of the car is doing work will be [MP PMT/PET 1998; JIPMER 2000]

Options:

A) RV

B) maV

C) $ (R+ma)V $

D) $ (ma-R)V $

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Answer:

Correct Answer: C

Solution:

Force required to move with constant velocity

Power = FV Force is required to oppose the resistive force R and also to accelerate the body of mass with acceleration a.

Power = $ (R+ma)V $



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