Derivation of Work-Energy Theorem

[IncognitoSOS]

Homework Statement

Use the Work-Energy Theorem to show that an object with initial velocity vo will travel a distance d across a rough horizontal surface before stopping, where d = vo2/(2muKg).

Homework Equations

W = delta KE = mV^2/2

The Attempt at a Solution

To be honest, I have absolutely no idea where to even start. Any suggestions on how to start would be greatly appreciated.

 

[willem2]

Can you compute what the friction force is?

The work done by this force is force * distance (if the force is always in the same direction as the movement, but that is the case here)

The object will lose all the kinetic energy is has at the start while it slows to a stop.