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