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A bomb, initially at rest, explodes into...

A bomb, initially at rest, explodes into several pieces. (a) Is linear momentum of the system conserved? (b) Is kinetic energy of the system conserved? Explain.

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a. Linear momentum is conserved since there are no external forces acting on the system. The fragments go off in different directions and their vector momenta add to zero.
b. Kinetic energy is not conserved because the chemical potential energy initially in the explosive is converted into kinetic energy of the pieces of the bomb.
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Knowledge Check

  • The momentum of a system is conserved

    A
    Always
    B
    Never
    C
    In the absence of an external force on the system
    D
    None of the above
  • A shell initially at rest explodes into two pieces of equal mass, then the two pieces will

    A
    Be at rest
    B
    Move with different velocities in different directions
    C
    Move with the same velocity in opposite directions
    D
    Move with the same velocity in same direction
  • A 12 kg bomb at rest explodes into two pieces of 4 kg and 8 kg. If the momentum of 4 kg piece is 20 Ns, the kinetic energy of the 8 kg piece is

    A
    `25" J"`
    B
    `20" J"`
    C
    `50" J"`
    D
    `40" J"`
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