Question

a body moves with a velocity of 25m/s and an energy of 500J. Calculate the momentum and the mass of the body​

Answer 1

Explanation:

[ NOTE : Since, the body is in motion. Therefore, it possesses Kinetic Energy (K.E.) ]

We have :

Velocity of the body, v = 25 m/s

Energy (K.E.) of the body, K.E. = 500 J

To calculate :

Momentum of the body, P = ?

Mass of the body, m = ?

We know,

Kinetic Energy of a body, $\boxed{\sf{K.E.= \frac{1}{2}mv^{2}}}$

Therefore, mass m of the body is given by,

$\sf{m= \frac{2\times{K.E.}}{v^{2}}}$

$\implies{\sf{m= \frac{2\times{500}}{(25)^{2}}}}$

$\implies{\sf{m=\cancel{ \frac{1000}{625}}}}$

$\implies{\underline{\boxed{\sf{m=1.6 \:kg}}}}$

Now,

Momentum, $\boxed{\sf{P=mv}}$

$\implies{\sf{P=1.6\times{25}}}$

$\implies{\underline{\boxed{\sf{P=40\: kgms^{-1}}}}}$

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