Question

two bodies have same kinetic energies.if their velocities are in the ratio 1:2 find out the ratios of their masses

Answer 1

1/2(m1)(v1)^2=1/2(m2)(v2)^2-----------(1)

Given,v1=2(v2)

{1/2(m1)(v1)^2}/{1/2(m2)(v2)^2}=1(From (1))

OR {1/2(m1)(v1)^2}/{1/2(m2)(2v2)^2=1

OR (m1)(v1)^2/(m2) x 4(v1)^2=1

OR(m1)/(m2)=4/1

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