Assertion -A mass m1 approaches another body of mass m2 initially at rest with speed v1- The speed of the centre of mass of system is vcm-m1v1m1-m2 before collision- After collision velocity of the centre of mass of the system changes- Reason- During collision only two bodies interact and there is no external force-

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Standard XII

Physics

The Principle

Assertion :A ...

Question

Assertion :A mass $m_{1}$ approaches another body of mass $m_{2}$ initially at rest with speed $v_{1}$ . The speed of the centre of mass of system is $v_{c m} = \frac{m_{1} v_{1}}{m_{1} + m_{2}}$ before collision. After collision velocity of the centre of mass of the system changes. Reason: During collision only two bodies interact and there is no external force.

Statement I is True and Statement 2 is True and is a correct explanation of Statement 1.

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Statement I is True and Statement 2 is True but not a correct explanation of Statement 1.

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Statement I is True and Statement 2 is False

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Statement I is False and Statement 2 is True.

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Solution

The correct option is D Statement I is False and Statement 2 is True.
In a collision , no external force acts on the system of colliding particles. Since the sum of internal forces equal to zero, the velocity of the center of mass of the system does not change.

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