#### To determine

**To calculate:**

The work done in moving the object to a distance of *8 m*

#### Answer

*W=180 J*

#### Explanation

**1) Concept:**

Use the formula to calculate the work done.

**2) Formula:**

The work done in moving the object from *a* to *b* is given by

*W=∫abf(x)dx*

**3) Given:**

i. *a=0 m* and *b=8 m*

**4) Calculation:**

The force function *F(x)* is given in *Newtons* and the work is given in *Joules*

The area under the curve is given by

*W=∫08F(x)dx*

*F * varies from *0* to *4* and remains constant on *4* to *8*

From *0* to *4,Fx=304x* and from *4* to *8,Fx=30*

Therefore,

*=∫04F(x)dx+∫48F(x)dx*

*=∫04304xdx+∫4830dx*

Simplify,

*=304x2204+30x48*

*=154x204+30(8-4)*

*=15442-02+30(4)*

*=15416+120*

*=60+120*

*=180*

Therefore,

*W=180 J*

**Conclusion:**

*W=180 J*