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A body of a mass m moving with speed v c...

A body of a mass m moving with speed v collides elastically head on with another body of mass m, initially at rest. Show that the moving body will come to a stop after collision.

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To solve the problem of a body of mass \( m \) moving with speed \( v \) colliding elastically head-on with another body of mass \( m \) that is initially at rest, we will use the principles of conservation of momentum and the properties of elastic collisions. ### Step-by-Step Solution: 1. **Identify the masses and initial velocities**: - Let the mass of the first body (moving) be \( m \) and its initial velocity be \( v \). - Let the mass of the second body (at rest) also be \( m \) and its initial velocity be \( 0 \). ...
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Knowledge Check

  • A body of mass m moving with velocity v collides head on with another body of mass 2m which is initially at rest. The ratio of K.E. of colliding body before and after collision will be

    A
    `1:1`
    B
    `2:1`
    C
    `4:1`
    D
    `9:1`

  • A body of mass m moving with velocity v collides head on with another body of mass 2 m which is initially at rest. The ratio of K.E. of colliding body before and after collision will be

    A
    `1:1`
    B
    `2:1`
    C
    `4:1`
    D
    `9:1`

  • A body of mass M moves with velocity v and collides elastically with a another body of mass m (Mgt gt m) at rest then the velocity of body of mass m is

    A
    v
    B
    2v
    C
    `v//2`
    D
    Zero

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    Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Body "P" having mass M moving with speed 'u" has head-on collision elastically with another body 'Q' having mass 'm' initially at rest. If Mgtgtm , body Q will have a maximum speed equal to "2u' after collision Reason R : During elastic collision, the momentum and kinetic energy are both conserved. In the light of the above statements, choose the most appropriate answer from the options given below:

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