Aug 26th 2015, 01:55 PM
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#12 |
Physics Team
Join Date: Jun 2010 Location: Morristown, NJ USA
Posts: 2,326
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same principle as the earlier problem - the kinetic energy of an object is proportional to the velocity of the object squared. An object moving at 10 m/s has four times the KE of an object moving at half that speed.
One way to see this is to calculate the ratio of the two energies:
KE_1/K_2 = (0.5 m v_1^2)/(0.5 m v_2^2) = (v_1/v_2)^2
So if v_2 = one half v_1, then KE_2 = one quarter KE_1
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