Q.

A car of mass m is accelerating on a level smooth road under the action of a single force F. The power delivered to the car is constant and equal to P. If the velocity of the car at an instant is v, then after travelling how much distance will it become double?

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a

7mv33P

b

4mv33P

c

mv3P

d

18mv37P

answer is A.

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Detailed Solution

Power  P=F·v=mv·dvds·v∴  ∫v2vv2·dv=Pm·∫0sds           v33v2v=Psm or s=7mv33P
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A car of mass m is accelerating on a level smooth road under the action of a single force F. The power delivered to the car is constant and equal to P. If the velocity of the car at an instant is v, then after travelling how much distance will it become double?