Two identical balls move towards each other with velocities $3 u$ and $2 u$ respectively. The velocity of centre of mass is?

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2 u

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\frac{u}{2}

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\frac{3 u}{2}

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Solution

The correct option is C $\frac{u}{2}$
Let $m =$ mass of each ball conserving momentum before and after collision
$3 m u + (- 2 m u) = (m + m) V_{C M}$
$\Rightarrow m u = 2 m V_{C M}$
$∴ V_{C M} = \frac{u}{2}$ .

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Two identical balls move towards each other with velocities 3u and 2u respectively. The velocity of centre of mass is?

The correct option is C u2Let m=mass of each ball conserving momentum before and after collision3mu+(−2mu)=(m+m)VCM⇒mu=2mVCM∴VCM=u2.

Two identical balls move towards each other with velocities $3 u$ and $2 u$ respectively. The velocity of centre of mass is?

The correct option is C $\frac{u}{2}$
Let $m =$ mass of each ball conserving momentum before and after collision
$3 m u + (- 2 m u) = (m + m) V_{C M}$
$\Rightarrow m u = 2 m V_{C M}$
$∴ V_{C M} = \frac{u}{2}$ .