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Standard XII

Physics

Linear Momentum

The velocity ...

Question

The velocity of centre of mass immediately after the collision is

v / 3

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2 v / 3

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3 v / 2

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2 v / 5

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Solution

The correct option is A $v / 3$
Let center of mass moves with a velocity $V$ and the system rotates about its COM with an angular velocity $w .$
As the net external force is Zero, thus linear momentum is conserved.
$P_{i} = P_{f}$
$m v + 0 = (m + 2 m) V$
$⟹ V = \frac{v}{3}$

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The velocity of centre of mass immediately after the collision is

The correct option is A v/3Let center of mass moves with a velocity V and the system rotates about its COM with an angular velocity w. As the net external force is Zero, thus linear momentum is conserved.Pi=Pfmv+0=(m+2m)V ⟹V=v3

The correct option is A $v / 3$
Let center of mass moves with a velocity $V$ and the system rotates about its COM with an angular velocity $w .$
As the net external force is Zero, thus linear momentum is conserved.
$P_{i} = P_{f}$
$m v + 0 = (m + 2 m) V$
$⟹ V = \frac{v}{3}$