Question

A body of mass 50 kg has momentum 5000 kgms⁻¹. Calculate

1. Velocity of body
2. Kinetic energy of body.

Answer 1

Given Data:

Mass of the body (m) = 50 kg

Momentum (p) = 5000 kgms⁻¹

(i) Velocity of the body

Formula: Momentum (p) = Mass (m) × Velocity (v)

\[ v = \frac{p}{m} \]

\[ v = \frac{5000}{50} \]

v = 100 m/s

(ii) Kinetic energy of the body

\[ \text{K.E.} = \frac{p^{2}}{2m} \]

\[ \text{K.E.} = \frac{(5000)^{2}}{2 \times 50} \]

\[ \text{K.E.} = \frac{2{,}50{,}00{,}000}{100} \]

= 2,50,000 J