Question

Show that momentum of a body having mass m and kinetic energy e is

Answer 1

Mass of body = m

Kinetic energy = e

momentum = ?

We know that kinetic energy is given as:

$e = \frac{1}{2} m {v}^{2} \\ \\ {v}^{2} = \frac{2e}{m} \\ \\ v = \sqrt{ \frac{2e}{m} }$

$momentum(p) = mv = m \times \sqrt{ \frac{2e}{m} } \\ \\ p = \sqrt{ \frac{2e}{m} \times {m}^{2} } \\ \\ p = \sqrt{2me}$

$\boxed{ \large \text{momentum} = \sqrt{2me} }$

Answer 2

Answer:

√2mE

Explanation:

KE e is √2mE

HOPE IT HELPS YOU