Question

The force applied on a moving object with a mass of `3 kg` on a linear path is given by `F(x)=4x-2`. How much work would it take to move the object over `x in [0,2 ]`?

Answer 1

The work is `=4J`

Explanation:

The work is Force x distance

`DeltaW=F*Deltax`

`F(x)=4x-2`

`W=int_0^2(4x-2)dx=[4/2x^2-2x]_0^2`

`=(8-4)-(0)`

`=4J`