Energy to drag a block

[indie452]

Homework Statement

whats the energy required to drag a block a distance L

Homework Equations

coefficiant of friction between block and floor = $$\mu$$
density of block = p

force*distance = change in kinetic energy

The Attempt at a Solution

friction acting against movement Fr = $$\mu$$mg m = mass of block

force in direction of movement F = ma

resultant force = F - Fr = m(a-$$\mu$$g)

resultant force*L = energy = m(a-$$\mu$$g)L

i dont think the last step is right though as im not sure sure that the assumption made that energy required is the same as the change in KE is correct...

help or guidance appreciated

 

[PhanthomJay]

Although not stated as such, I think you are looking for the energy (work) required by a person or machine to just overcome friction and move the block at constant speed (no acceleration).