# 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 ] ?

Aug 22, 2017

The work is $= 4 J$

#### Explanation:

The work is Force x distance

$\Delta W = F \cdot \Delta x$

$F \left(x\right) = 4 x - 2$

$W = {\int}_{0}^{2} \left(4 x - 2\right) \mathrm{dx} = {\left[\frac{4}{2} {x}^{2} - 2 x\right]}_{0}^{2}$

$= \left(8 - 4\right) - \left(0\right)$

$= 4 J$