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AP EAMCET201923 Apr 2019Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

A body (A ) moving with momentum (P ) collides one-dimensionally with another stationary body (B ) of same mass. During impact, (A ) gives impulse (J ) to (B ). Then which of the following is/are correct? (a) The total momentum of (A ) and (B ) is (P ) before and after impact and ((P-J) ) during the impact. (b) During the impact, (B ) gives impulse of magnitude (J ) to (A ). (c) The coefficient of restitution is ( [

Options

  1. AOnly (a) is correct.
  2. B(a) and (c) are correct.
  3. C(b) and (c) are correct.
  4. DOnly (c) is correct.

Correct answer

C. (b) and (c) are correct.

Step-by-step solution

According to the question, a collision between two bodies ( (A ) and (B )) is shown in the figure below, So, the coefficient of restitution ( aligned e & = Relative velocity of separation Relative velocity of approach e & = J-p m + J m p m -0 = 2 J P -1 ( v= m v m = p m ) aligned ) During the impact, (B ) gives impulse (J_B=p+J-p=J ) Hence, the statement (b) and (c) are correct.

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