If the momentum of an object is tripled by what factor will its kenitic energy change?

NetherCraft 0

2 Answers

  • Assuming that the mass of the object cannot change then to triple the momentum requires the velocity to increase by a factor of three.

    Kinetic energy is proportional to the square of the velocity ( 1/2 m v^2 )

    so it must increase by 3^2 or a factor of 9 times.

  • P = m*v = momentum

    E = ½m*v² = kinetic energy

    Ergo,

    E = ½m*[P/m]²

    E = ½[P²/m], or, E is proportional to momentum squared

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