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Two blocks of masses 10 kg and 4 kg are ...

Two blocks of masses `10 kg` and `4 kg` are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of `14 m//s` to the heavier block in the direction of the lighter block. The velocity of the centre of mass is

A

`30 m//s`

B

`20 m//s`

C

`10 m//s`

D

`5 m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
Just after giving the impulse: `V_c = (10 xx 14 + 4 xx 0)/(10 + 4) = 10 m//s`.
Since spring force is internal force, it cannot change the linear momentum of the (two mass + spring) system. Therefore, remains the same.
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