# Solve it kindly?

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A body of mass 3kg is under a force causes a displacement in it ,given by #S=t^2/3# (in meters). The work done by the force in 2s is what?

A body of mass 3kg is under a force causes a displacement in it ,given by

##### 1 Answer

#### Explanation:

We're asked to find the *work* done on a particle given its mass and position equation with time.

I'll solve it without using kinetic energy formulas, but via force and displacement. Take a look at The Useful G.'s response for a different approach.

The equation for the work

Since his motion is one-dimensional, we can also write this as

We can find the object's displacement at time

To find the constant force that acts on the object, we can first find the acceleration as a function of time, by differentiating the position equation twice:

So the acceleration

The force

Now that we know the force