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Question: Answered & Verified by Expert
In the previous problem (3), the magnitude of the momentum transferred during the hit is
PhysicsLaws of Motion
Options:
  • A
    zero
  • B
    $0.75 \mathrm{~kg}-\mathrm{m} \mathrm{s}^{-1}$
  • C
    $1.5 \mathrm{~kg}-\mathrm{m} \mathrm{s}^{-1}$
  • D
    $1.4 \mathrm{~kg}-\mathrm{m} \mathrm{s}^{-1}$
Solution:
1379 Upvotes Verified Answer
The correct answer is:
$1.5 \mathrm{~kg}-\mathrm{m} \mathrm{s}^{-1}$
From previous solution
$$
\begin{aligned}
\Delta p=-(0.9 \hat{i}+1.2 \hat{j}) &=-0.9 \hat{i}-1.2 \hat{j} \\
\text { Magnitude of }|\Delta p| &=\sqrt{(-0.9)^2+(-1.2)^2} \\
&=\sqrt{0.81+1.44} \\
&=\sqrt{2.25}=1.5 \mathrm{~kg}-\mathrm{m} \mathrm{s}^{-1}
\end{aligned}
$$
Verifies the option (c).

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