A 2.30 kg block is acted upon by a horizontal force F(x) = 30.0 - 10.0x where the force is measured in Newtons if x is measured in meters. The coefficient of kinetic friction between the block and the flat surface is 0.170. The block is initially at x = 0 m.

Question

A 2.30 kg block is acted upon by a horizontal force F(x) = 30.0 - 10.0x where the force is measured in Newtons if x is measured in meters. The coefficient of kinetic friction between the block and the flat surface is 0.170. The block is initially at x = 0 m. 
 What distance must the block travel if the net work done on the block by F(x) and friction combined is to be exactly zero?

Henry · Answer

F(x) = 30 - 10x = 0 10x = 30 X = 3 Meters.