Question

Show that the quantity 2K/v² has the unit of mass, where K is the kinetic energy of the body.

Answer 1

Kinetic Energy, K = `1/2 mv^2`

where, m - Mass and V - Linear Velocity

We may now use the equation of a kinetic energy (K) in this `((2k)/V^2)` formula, we get

`therefore (2K)/V^2 = (2 xx 1/2 m V^2)/V^2     ...("Substitute"  K = 1/2 mV^2)` 

`therefore (2K)/V^2` = m

Therefore, the quantity.

`(2K)/V^2` will have the unit of mass m, which is kilogram (kg).