A bullets of mass m moving with a velocity v is fired into a large wooden block of mass M. If the bullet remains embedded in the wooden block, the velocity of the system will be:

Correct answer: B. Option B

  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation

Since there is no extra force other than the action and reaction force so the linear momentum should be conserved.Suppose the system moves with velocity Vthen momentum before collision is mv and that after collision will be (M+m)VEquating both we get mv=(M+m)V or V= m/m+M* v As it is numerical, it can have only one answer.

This question appeared on the ETEA MDCAT 2017 paper, which you can sit online with every answer explained.

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About Collisions

Collisions involve the conservation of linear momentum when bodies interact for a short time. The topic covers impulse, elastic and inelastic collisions, kinetic energy changes, and the coefficient of restitution, with calculations usually based on one dimensional motion. Momentum remains conserved in isolated collisions, but kinetic energy is conserved only in elastic collisions.

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