Question #73680

Find ratio of their kinetic energy when one body has mass m and other one has mass 7m

Expert's answer

Answer on Question #73680, Physics / Atomic and Nuclear Physics

Find ratio of their kinetic energy when one body has mass mm and other one has mass 7m7m.

Answer:

The kinetic energy of the body is determined


KE=12mv2KE = \frac{1}{2}mv^2


The mass of the first body is mm.

The mass of the second body is 7 times greater than the first one.

So,


KE1KE2=2mv122×7mv22=v127v22\frac{KE_1}{KE_2} = \frac{2mv_1^2}{2 \times 7mv_2^2} = \frac{v_1^2}{7v_2^2}KE1KE2=v127v22\frac{KE_1}{KE_2} = \frac{v_1^2}{7v_2^2}


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