A car is moving with an initial velocity of $10 m s^{- 1}$ with an acceleration of $5 m s^{- 2}$ for a time interval of 10 seconds. Mass of the car is 20 kg, find average power of the car.

3500 W

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7000 W

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2000 W

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5000 W

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Solution

The correct option is A
3500 W

Mass of the car, m = 20 kg
The initial velocity of the car, $u = 10 m s^{- 1}$
acceleration of the car, a = $5 m s^{- 2}$
Time interval, $t = 10 s$
Let final velocity after time $t$ be $v$
We know that, v = u + at (from equation of motion).
v = 10 + 5 $\times$ 10 = $60 m s^{- 1}$
Work done = change in kinetic energy = $\frac{1}{2} m v^{2} - \frac{1}{2} m u^{2}$ = $\frac{1}{2}$ $\times$ 20 (3600 - 100) = 35000 J
Power = $\frac{W o r k d o n e}{t i m e t a k e n}$ = $\frac{35000}{10}$ = 3500 W.

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A car is moving with an initial velocity of 10 ms−1 with an acceleration of 5 ms−2 for a time interval of 10 seconds. Mass of the car is 20 kg, find average power of the car.

A car is moving with an initial velocity of $10 m s^{- 1}$ with an acceleration of $5 m s^{- 2}$ for a time interval of 10 seconds. Mass of the car is 20 kg, find average power of the car.