Homework Help: Object falls down frictionless chute and hits surface with coefficient of friction

1. Feb 18, 2012

becky_marie11

1. The problem statement, all variables and given/known data
A boy shoves his stuffed toy zebra down a frictionless chute, starting at a height of 1.05 m above the bottom of the chute and with an initial speed of 1.71 m/s. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with coefficient of kinetic friction 0.263. How far from the bottom of the chute does the toy zebra come to rest? Take g = 9.81 m/s2.

h=1.05m
Vi=1.71m/s
μk=.263
g=9.81m/s^2

2. Relevant equations
K=1/2mv^2
W=-μmgd
W(non conservative)=Ef-Ei

3. The attempt at a solution

2. Feb 19, 2012

BruceW

Re: Object falls down frictionless chute and hits surface with coefficient of frictio

There's essentially two parts to the question. So the first part is calculating the speed which the object gets to when it gets to the bottom of the chute. I'm guessing you've done the regular kinematic equations for this part? Which equations did you use, and what answer did you get to?

3. Feb 19, 2012

I like Serena

Re: Object falls down frictionless chute and hits surface with coefficient of frictio

Welcome to PF, becky_marie11!

I'm missing the relevant equation for potential energy.
Conservation of energy says that the total initial energy must have been canceled by the work done by friction.

4. Feb 19, 2012

becky_marie11

Re: Object falls down frictionless chute and hits surface with coefficient of frictio

Ohhh...Wait I figured it out. Nevermind! Thanks though!