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Two particles of masses m and 4 m have linearmomenta in the ratio of2: 1 what is the ratio oftheir kinetic energies?(a) (b) 2 (c) 4 (d) 16 |
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Answer» Let v be the speed of mass m and let w be the speed of mass 4m. Linear momentum of m is mv. Linear momentum of 4m is 4mw. From the problem, mv/4mw = 2/1 or v/4w = 2 or v/w = 8. The ratio of the kinetic energies is (1/2)mv^2/(1/2) 4m w^2 = (1/4) (v^2/w^2) = 8^2/4 = 16 |
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