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Question

Figure shows two blocks 4 kg and 2 kg placed on a frictionless surface and connected with a spring. An external push gives a velocity of 10 ms1 to the heavier block in the direction of the lighter one. At that instant, the velocity gained by the centre of mass will be

A
23 ms1
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B
53 ms1
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C
143 ms1
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D
203 ms1
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Solution

The correct option is C 203 ms1

At the instant when 4 kg block receives a push, 2 kg block does not receive any velocity.
Velocity of centre of mass at that instant,
Vcm=4×10+2(0)4+2=406=203 ms1

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