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The momentum of a body of mass $100 g$ with a kinetic energy of $20 J$ is [[1]] $kgm / s$

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Detailed Solution

The momentum of a body of mass

100 g

with a kinetic energy of

20 J

2 kgm / s .

It is given that kinetic energy

(K . E .)

of the body is

20 J .

Mass of the body

(m)

100 g

\Rightarrow m = 100 \times 10^{- 3} kg

\Rightarrow m = 0.1 kg

The formula for kinetic energy

(K . E .)

K . E . = \frac{1}{2} m v^{2}

20 = \frac{1}{2} \times 0.1 \times v^{2}

\Rightarrow 400 = v^{2}

\Rightarrow v = 20 m / s

We know that, momentum

(P)

is the product of mass of the object

(m)

and its velocity

(v)

. Mathematically,

P = m \times v

P = 0.1 \times 20

\Rightarrow P = 2 kgm / s

Hence, the momentum of the body is

2 m / s

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