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Question: Answered & Verified by Expert
The velocity $v$ reached by a car of mass $m$ at certain distance from the starting point driven with constant power $P$ is such that
PhysicsWork Power EnergyTS EAMCETTS EAMCET 2012
Options:
  • A $v \propto \frac{3 P}{m}$
  • B $v^2 \propto \frac{3 P}{m}$
  • C $v^3 \propto \frac{2 P}{m}$
  • D $v \propto\left(\frac{3 P}{m}\right)^2$
Solution:
2106 Upvotes Verified Answer
The correct answer is: $v^3 \propto \frac{2 P}{m}$
$P=\frac{\frac{1}{2} m v^2}{t} \Rightarrow v^2=\frac{2 P t}{m} \Rightarrow v^2 \propto \frac{2 P}{m}$

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