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Two bodies of equal masses are moving with uniform velocities v and 2v. Find the ratio of their kinetic energies.
Two bodies of equal masses are moving with uniform velocities v and 2v. Find the ratio of their kinetic energies.
Class 10 | ICSE | Physics | Selina | Work Energy
Two bodies of equal masses are moving with uniform velocities v and 2v. Find the ratio of their kinetic energies.

Solutions:

According to the question –

Velocity of first body v1 is v

Velocity of second body, v2 is  2v

Kinetic energy is directly proportional to the square of the velocity (K α v2) since Masses are same.

Therefore, the ratio of their kinetic energies is as follows –

K1 / K2 = (v1)2 / (v2)2 = v2 / (2v)2

= v2 / 4v2 = 1 / 4

= 1: 4

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