# An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 6x-1 #. How much work would it take to move the object over #x in [2, 3], where x is in meters?

##### 1 Answer

#### Answer:

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#### Explanation:

**The question is similar to another question solved as bellow. The difference is in the value of coefficient of friction. Choose appropriate value and solve.
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Force of kinetic friction which needs to be overcome to move the object

where

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