# An object with a mass of #8 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 2x^2-3x #. How much work would it take to move the object over #x in [2, 3], where x is in meters?

##### 1 Answer

#### Explanation:

Force of kinetic friction which needs to be overcome to move the object

where

In the problem

Inserting given quantities and taking the value of

When this force moves through a small distance

When the force moves through a distance from

Total work done