Question

two bodies of kinetic energies in the ratio 4:1 are moving equal linear momentum. the ratio of their masses will be?

Answer 1

Explanation:

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Answer 2

Given: Two bodies of kinetic energies in the ratio 4:1 are moving with equal linear momentum.

To find: the ratio of their masses.

Solution: Since the masses have equal linear momentum, so:

                p₁ = p₂ = p    [same]

We know from the relationship between kinetic energy and momentum that:

               K.E. = p²/ 2m

We use the above relation to find the ratio of masses.

So, we have:

           K.E.₁/ K.E.₂ = p₂/ 2m₁ × 2m₂/ p²

                   4 / 1 = m₂ / m₁

               m₁ / m₂ = 1 / 4

Hence, the ratio of their masses will be 1 : 4.