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A point mass of 1 kg collides elasticall...

A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses its direction and moves with a speed of 2 m/s. Which of the following statements are correct for the system of these two masses?

A

Total momentum of the system is 3 kg m/s.

B

Momentum of 5 kg mass after collision is 4 kg m/s.

C

Kinetic energy of the center of mass is 0.75 J.

D

Total kinetic energy of the system is 4 J.

Text Solution

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The correct Answer is:
A, C
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Knowledge Check

  • A point mass of 1kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1kg mass reverses its direction and moves with a speed of 2ms^-1 . Which of the following statements (s) is (are) correct for the system of these two masses?

    A
    Total momentum of the system is `3kgms^-1`
    B
    Momentum of 5kg mass after collision is `4kgms^-1`
    C
    Kinetic energy of the centre of mass is 0.75J
    D
    Total kinetic energy of the system is 4J
  • A 6 kg mass travelling at 2.5 ms^(-1) collides head on with a stationary 4 kg mass. After the collision the 6kg mass travels in its original direction with a speed of 1 ms^(-1) . The final velocity of 4 kg mass is

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    `1 ms^(-1)`
    B
    `2.25 ms^(-1)`
    C
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    C
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    D
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