A force of $20\ N$ acts upon a body whose weight is $9.8\ N$. What is the mass of the body and how much is its acceleration? $(g=9.8\ ms^{-2})$.

Here given, Force acting upon the body $F=20\ N$

Weight of the body $W=9.8\ N$

Gravitational acceleration $g=9.8\ ms^{-2}$

Let $m$ be the mass of the body.

We know the relationship between the mass and the weight of the body,

$W=mg$

Or $9.8=m\times9.8$

Or $m=\frac{9.8}{9.8}$

Or $m=1\ kg$

Therefore, the mass of the body is $1\ kg.$

Let $a$ be the acceleration of the body caused by the acted force upon the body.

Then, $F=ma$    [Newton's second law of motion]

Or $20=1\times a$

Or $a=20\ m/s^2$

Therefore, the acceleration of the body is $20\ m/s^2$.

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Updated on: 10-Oct-2022

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