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Two objects of mass 10 kg and 2kg are mo...

Two objects of mass 10 kg and 2kg are moving with velocities `(2hati-7hatj+3hatk) m//s and (-10hati+35hatj-3hatk)` m/s respectively. Calculate the velocity of the centre of mass of the system.

Text Solution

Verified by Experts

Centre of mass of the two objects,
`vecr_("cm")=(m_(1)vecr_(1)+m_(2)vecr_(2))/(m_(1)+m_(2))`
Therefore, velocity of the centre of mass,
`vecv_("cm")=(m_(1)vecv_(1)+m_(2)vecv_(2))/(m_(1)+m_(2))`
`=(10(2hati-7hatj+3hatk)+2(-10hati+35hatj-3hatk))/(10+2)=2 hatkm//s`
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