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Physics Center of Mass Impulse MCQ (Single Correct)

A bullet of mass m moving vertically upwards instantaneously with a velocity 'u' hits the hanging block of mass 'm' and gets embedded in it, as shown in the figure. The height through which the block rises after the collision. (assume sufficient space above block) is :

A
u 2 /2g
B
u 2 /g
C
u 2 /8g
D
u 2 /4g

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Text Solution

Verified by Experts
The correct answer is:
C

From momentum conservation

mu = 2mv ⇒ v =

from energy conservation

× 2m × = 2 mgh ⇒ h =

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