two bodies of masses (m1) and (m2) have equal kinetic energy. what shall be the ratio of their momentum

Linear Momentum = mass X velocity

Velocity of 1st body = v1

KInetic energy of first body= p2/2m1= (m1v1)2 / 2m1

Velocity of 2nd body = v2

Kinetic energy of 2nd body = p2 / 2m2 = (m2v2)2/ 2m2

= (m1v1)2 / 2m1 = (m2v2)2 / 2m2

= (m1v1) / (m2v2) = root(2m2 )/root( 2m1)

ANSWER = root(2m2) : root(2m1)

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