Question

the momentum of the body of mass 5 kg is 500 kg-m/s the ki netic energy is what​

Answer 1

Answer :

may it's help you.

Answer 2

Given Information,

Momentum (p) = 500Kg m/s

Mass of the Particle (m) = 5 Kg

We know that,

Momentum = Mass × Velocity

$\sf p = m \times v \\ \\ \longrightarrow \sf v = \dfrac{p}{m}$

Also,

Kinetic Energy = 1/2 × Mass × (Velocity)²

$\sf K = \dfrac{1}{2} {mv}^{2} \\ \\ \longrightarrow \sf K = \dfrac{1}{2} \times m \times (\dfrac{p}{m} ) {}^{2} \\ \\ \longrightarrow \boxed{ \boxed{\sf K = \dfrac{ {p}^{2} }{2m} }}$

Substituting the values, we obtain :

$\longrightarrow \sf K = \dfrac{1}{2} \times \dfrac{500}{5} \times 500 \\ \\ \longrightarrow \sf K = \dfrac{1}{2} \times 100 \times 500 \\ \\ \longrightarrow \sf K = \dfrac{1}{2} \times 50 \times {10}^{3} \\ \\ \longrightarrow \boxed{ \boxed{\sf K = 25 \times {10}^{3} \ J }}$