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Standard XII

Physics

Velocity of COM

Two bodies of...

Question

Two bodies of different masses of $2 k g$ and $4 k g$ are moving with velocities with $2 m / s$ and $10 m / s$ towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass?

5 m / s

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6 m / s

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8 m / s

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zero

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Solution

The correct option is B $6 m / s$
${\to V}_{C M} = \frac{2 (\to v) + 4 (\to u)}{M}$
${\to V}_{C M} = \frac{- 2 (v) + 4 (u)}{M}$
${\to V}_{C M} = \frac{- 2 (2) + 4 (10)}{2 + 4} = 6 m / s$

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Two bodies of different masses of 2kg and 4kg are moving with velocities with 2m/s and 10m/s towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass?

The correct option is B 6m/s→VCM=2(→v)+4(→u)M→VCM=−2(v)+4(u)M→VCM=−2(2)+4(10)2+4=6m/s

Two bodies of different masses of $2 k g$ and $4 k g$ are moving with velocities with $2 m / s$ and $10 m / s$ towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass?

The correct option is B $6 m / s$
${\to V}_{C M} = \frac{2 (\to v) + 4 (\to u)}{M}$
${\to V}_{C M} = \frac{- 2 (v) + 4 (u)}{M}$
${\to V}_{C M} = \frac{- 2 (2) + 4 (10)}{2 + 4} = 6 m / s$