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Question: Answered & Verified by Expert
A particle is moving in a circle with uniform speed ' $v$ '. In moving from a point to another diametrically opposite point
PhysicsMotion In Two DimensionsMHT CETMHT CET 2023 (12 May Shift 2)
Options:
  • A the momentum changes by $\mathrm{mv}$
  • B the momentum changes by $2 \mathrm{mv}$
  • C the kinetic energy changes by $\frac{1}{2} \mathrm{mv}^2$
  • D the kinetic energy changes by $\mathrm{mv}^2$
Solution:
2223 Upvotes Verified Answer
The correct answer is: the momentum changes by $2 \mathrm{mv}$


At both points, the momentum will be mv, but will be in opposite directions.
$$
\begin{array}{ll}
\therefore & \Delta \mathrm{P}=\mathrm{mv}-(-\mathrm{mv}) \\
\therefore & \Delta \mathrm{P}=2 \mathrm{mv}
\end{array}
$$
The momentum changes by $2 \mathrm{mv}$.

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