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The velocities of three particles of mas...

The velocities of three particles of masses 20 g, 30 g and 50 g are `10hati`, `10hatj` and `10hatk` respectively. The velocity of the centre of mass of the three particles is

A

`2vec(i)+3hat(j)+5hat(k)`

B

`10(hat(i)+hat(j)+hat(k))`

C

`20hat(i)+30hat(j)+5hat(k)`

D

`2hat(i)+30hat(j)+50hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
A
Velocity of centre of mass `v_(cm)=(m_(1)v_(1)+m_(2)v_(2)+m_(3)v_(3))/(m_(1)+m_(2)+m_(3))=(20xx10 hat(i)+30xx10hat(j)+50xx10hat(k))/(100)=2hat(i)+3hat(j)+5hat(k)`.
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