Question

17.
Two bodies of masses m1, and m2, have equal kinetic energies. The ratio
of their linear momentum is​

Answer 1

Answer:

Ratio of linear momentum of two bodies of differing masses possessing equal kinetic energy is the reciprocal of the ratio of their velocities

Explanation:

Two bodies of masses m1, and m2, have equal kinetic energies

$\frac{1}{2} m_{1}v_{1}^2=\frac{1}{2} m_{2}v_{2}^2\\m_{1}v_{1} \times v_{1}= m_{2}v_{2} \times v_{2}\\\frac{m_{1}v_{1}}{m_{2}v_{2}} =\frac{v_{2}}{v_{1}}$

From the above expression , we can see that The ratio  of their linear momentum is equal to the ratio of the velocities

Thus  the ratio of linear momentum of two bodies of differing masses possessing equal kinetic energy is the reciprocal of the ratio of their velocities