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A 500 kg car, moving with a velocity of ...

A 500 kg car, moving with a velocity of `36 km h^(-1)` on a straight road undirectionally, doubles its velocity in one minute. The power delivered by the engine for doubling the velocity is 

A

750 W

B

1050 W

C

1150 W

D

1250 W

Text Solution

Verified by Experts

The correct Answer is:
D
`u = 10 ms^(-1), v = 20 ms^(-1)`
According to work energy theorem
Work done = change in kinetic energy = `1/2 mv^2 - 1/2 m u^2`
`= 1/2 xx 500 [20^2 - 10^2] = (500 xx 30 xx 10)/(2)`
The power delivered by the engine is
`P = (500 xx 30 xx 10)/(2 xx 60) W = 1250 W`
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Knowledge Check

  • A 500-kg car, moving with a velocity of 36kmh^-1 on a straight road unidirectionally, doubles its velocity in 1min . The average power delivered by the engine for doubling the velocity is

    A
    (a) `750W`
    B
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    C
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    D
    (d) `1250W`

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