In a perfectly inelastic collision, the two bodies

  • A. bounce apart with no loss of kinetic energy
  • B. stick together and move with a common velocity, losing some kinetic energy
  • C. conserve kinetic energy but not momentum
  • D. come to rest

Explanation

Momentum is still conserved, so the common velocity follows from the total momentum divided by the total mass, but some kinetic energy is converted to heat, sound and deformation. A bullet embedding in a block is the standard example. The bodies come to rest only in the special case where the total momentum happens to be zero.

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