Question

The ratio of kinetic energies of two bodies is 2:1 and their momentum are in the ratio of 1:2 the ratio of their masses is???? Please answer fasyly

Answer 1

The ratio of their masses is 1:2

Explanation:

• Ratio of kinetic energies:

K1 = 1 / 2m1v1^2

K2 = 1 / 2m2v2^2

K1 : K2 = 2:1

• Ratio of momentum:

m1v1^2 : m2v2^2 = 1 : 2

m1v1^2 / m2v2^2 = 1/2

m1v1^2 =2m2v2^2  −−−−(1)

m1v1 : m2v2 = 1:1

or, m1v1 = m2v2−−−−−(2)

dividing 1 and 2

v1 = 2v2

From 2

m12v2=m2v2

m1:m2 = 1:2

Thus the ratio of their masses is 1:2

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