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Question: Answered & Verified by Expert
A body is moving with a uniform speed of $20 \mathrm{~ms}^{-1}$ on a horizontal circle. The change in velocity of the body in half revolution is
PhysicsMotion In Two DimensionsAP EAMCETAP EAMCET 2023 (17 May Shift 2)
Options:
  • A $20 \mathrm{~ms}^{-1}$
  • B $10 \mathrm{~ms}^{-1}$
  • C $40 \mathrm{~ms}^{-1}$
  • D $\frac{20}{\sqrt{2}} \mathrm{~ms}^{-1}$
Solution:
1472 Upvotes Verified Answer
The correct answer is: $40 \mathrm{~ms}^{-1}$
Speed of body, $v=20 \mathrm{~m} / \mathrm{s}$ Change in velocity in half revolution


$\begin{aligned} & \Delta v=\vec{v}_2-\vec{v}_1=-v \hat{j}-v \hat{j}=-2 v \hat{j} \\ & |\Delta v|=2 v=2 \times 20=40 \mathrm{~m} / \mathrm{s}\end{aligned}$

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