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TS EAMCET · Physics · Work Power Energy

A car of mass \(1200 \mathrm{~kg}\) (together with the driver) is moving with a constant acceleration of \(2 \mathrm{~m} / \mathrm{s}^2\). How much power does the engine generate at the instance, when the speed reaches \(20 \mathrm{~m} / \mathrm{s}\) ? (Assume that the coefficient of friction between the car and the road is 0.5 ).

  1. A \(48000 \mathrm{~W}\)
  2. B \(120000 \mathrm{~W}\)
  3. C \(168000 \mathrm{~W}\)
  4. D \(288000 \mathrm{~W}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(168000 \mathrm{~W}\)

Step-by-step Solution

Detailed explanation

Power of engine overcomes friction and provides necessary acceleration to the car. Now friction, \(f=\mu m g=0.5 \times 1200 \times 10=6000 \mathrm{~N}\) and accelerating force, \(F=m a=1200 \times 2=2400 \mathrm{~N}\) So, total force produced by engine…
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