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Question: Answered & Verified by Expert
A car of mass $1000 \mathrm{~kg}$ accelerates uniformly from rest to a velocity of $54 \mathrm{~km} /$ hour in $5 \mathrm{~s}$. The average power of the engine during this period in watts is (neglect friction)
PhysicsWork Power EnergyJEE Main
Options:
  • A 2000 W
  • B 22500 W
  • C 5000 W
  • D 2250 W
Solution:
2451 Upvotes Verified Answer
The correct answer is: 22500 W
Power $=\frac{\text { Work done }}{\text { time }}=\frac{\text { Increasein K.E. }}{\text { time }}$

$P=\frac{\frac{1}{2} m v^2}{t}=\frac{\frac{1}{2} \times 10^3 \times(15)^2}{5}=22500 \mathrm{~W}$

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