Question

vehicle A has four times the momentum and twice the kinetic energy of B. The ratio of the masses ma/mb and ratio of velocities VA/VB are respectively options are 1)8,1/2 2)4,2 3)1/2,4 4)2,1/2.

Answer 1

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ANSWER

Let m1 and m2 be the masses of the body 

Let m1>m2

Given that 

m1v1=m2v2

v2v1=m1m2

∴ Ratio between their kinetic energies , =K2K1=21m2v2221m1v12

⟹K2K1