Question

Two bodies with K E in the ratio of 4:1 are moving with equal linear
momentum. The ratio of the masses is ________​

Answer 1

Answer:

we know that Kinetic energy is ,

$\frac{1}{2} m {v}^{2}$

Also Kinetic energy is ,

$\frac{pv}{2}$

where p is momentum.

$\frac{pv1}{2} \times \frac{2}{pv2} = \frac{4}{1}$

Hence velocities are also in the ratio 4:1

Now , it's given in the question that linear momentum are equal.

$m1v1 = m2v2$

$\frac{m2}{m1} = \frac{v1}{v2} = \frac{4}{1}$

$\frac{m1}{m2} = \frac{1}{4}$

hence the ratio of the masses are 1/4