A box is sliding with a speed of 4.50 m/s on a horizontal surface when, at point P, it encounters a rough section. On the rough section, the coefficient of friction is not constant, but starts at .100 at P and increases linearly with a distance past P, reaching a value of .600 at 12.5m past point P. a) Use the work energy theorem to find how far this
box slides before stopping.
Work = .5mV1-.5mV2
The Attempt at a Solution
I am not really sure where to begin, if someone could steer me in the right direction, I would be grateful. I know that the friction area will cause a deceleration until the box stops. I know that the net force of Fx will be the F force in the positive x direction minus the Friction force in the negative x direction. I feel like I need the mass of the box and since it is not given, it must not be necessary and that means I am missing something.
I believe the s vector will be 12.5 since that is the distance of the friction area.