For how long should a force of 100 N acts on a body of 20 kg so that it acquires a velocity of 100 m/s?

Here given, force $F=100\ N$

Mass of the body $m=20\ kg$

Initial velocity $u=0$

Final velocity $v=100\ m/s$

Time $t=?$

As known $F=ma$

Therefore, $a=\frac{100\ N}{20\ kg}$

$=5\ m/s^2$

On using the first equation of the motion, $v=u+at$

$100=0+5\times t$

Or $t=\frac{100}{5}$

Or $t=20\ s$

Therefore, for $20\ s$ a force of 100 N acts on a body of 20 kg so that it acquires a velocity of 100 m/s.

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Updated on: 10-Oct-2022

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