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## Homework Statement

In the illustrated setting below a 2 kg mass slides down a frictionless hill starting at rest from a location 5 m above the floor. When the mass reaches the floor it slides across the floor and up another frictionless ramp on the far side. The horizontal floor has a coefficient of friction of 0.2 which is observed to remove 30% of the kinetic energy from the mass as it slides across the unknown width of the floor.

I am aware this is a fairly contrived setting and it was tempting to draw a specific example from the Honda ad we investigated in lab. Because this is pretty new material for most of you I wanted to limit the distraction and confusion of surrounding objects. That doesn't mean there aren't any distractions in this problem so be careful:)

## Homework Equations

PE=mgh

Ke=.5mv^2

inital Ke+initial Pe=final KE +final PE

## The Attempt at a Solution

0+mgh=.5mv^2+0

v=SQroot of 2gh

v=10m/s

Inital PE is 100

final KE is 100 using the formulas from above.

so my question is what else i could figure out given the problems and how i would figure it out. Thanks.