Question

A constant force of 20N acting on a body initirat rest gives an acceleration of 0.1m/s for 45s . Caculate that work done by the force

Answer 1

The work done is 2026 J

Explanation:

First of all, we calculate the distance covered by the body; since the motion is uniformly accelerated, we can use the suvat equation:

$s=ut+\frac{1}{2}at^2$

where

u = 0 is the initial speed

$a=0.1 m/s^2$ is the acceleration

t = 45 s is the time

s is the distance covered

Substituting,

$s=0+\frac{1}{2}(0.1)(45)^2=101.3 m$

Now we can find the work done by the force, which is given by

$W=Fs$

where

F = 20 N is the force applied

s = 101.3 m is the displacement of the object

Substituting,

$W=(20)(101.3)=2026 J$

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