A metre stick lies on a frictionless horizontal table. It has a mass \( M \) and is free to move...

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A metre stick lies on a frictionless horizontal table. It has a mass \( M \) and is free to move in any way on the table. A small body of mass \( \mathrm{m} \) moving with speed \( v \), collides elastically with the stick. What must be the value of \( m \) if it is to remain at rest after the collision?
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