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Question: Answered & Verified by Expert
A particle is acted upon by a constant power. Then, which of the following physical quantity remains constant?
PhysicsWork Power EnergyWBJEEWBJEE 2013
Options:
  • A Speed
  • B Rate of change of acceleration
  • C Kinetic energy
  • D Rate of change of kinetic energy
Solution:
1542 Upvotes Verified Answer
The correct answer is: Rate of change of kinetic energy
We have Power $=$ Rate of doing work $=\frac{d W}{d t}$
or, $\quad P=\frac{d W}{d t}=$ rate of change in $\mathrm{KE}$
i.e., $\quad P=\frac{d W}{d t}=\frac{d(\mathrm{KE})}{d t}=$ constant

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