An object having a mass of 2 kg has a linear momentum of 8 kg.m/s. What will be the kinetic energy of the object?

Given:
Linear momentum, p= 8 kg.m/s
Mass, m= 2 kg

To find: 
Kinetic energy, K.E

Solution: 

Momentum is mass in motion. It is given by p= mv

Kinetic energy is the energy possessed by a body in motion. It is given by $\frac{1}{2}{\mathrm{mv}}^2$

where, m is the mass of the body and v is the velocity.

By solving equations of momentum and kinetic energy, we can write, 

$\mathrm{KE}= \frac{1}{2}\frac{{\mathrm{p}}^2}{\mathrm{m}}$

Substituting the values,

$\mathrm{KE}= \frac{1}{2}\frac{{\left(8\right)}^2}{2}= \frac{64}{4}= 16 \mathrm{J}$

Therefore, the kinetic energy of the object will be 16 J.