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
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?