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## Homework Statement

A block of mass 2.96 kg is sliding up a ramp with an initial speed of 12.8 m/s. The ramp is inclined from the horizontal at an angle of 36.4 degrees and the coefficient of kinetic friction is [itex]\mu[/itex]=045. What is the displacement of the block along the ramp from the initial time until it stops?

## Homework Equations

W=ΔE

W=∫F*ds

ΔE=(m/2)(v

_{f})

^{2}-(m/2)(v

_{0})

^{2}where (v

_{f})=0

[itex]\Phi[/itex]=36.4

m=2.96kg

v

_{0}=12.8 m/s

[itex]\mu[/itex]= 0.45

## The Attempt at a Solution

[itex]\mu[/itex]*m*g*cos[itex]\Phi[/itex]x=-(m/2)(v

_{0})

^{2}

solve for x

x=-(m/2)(v

_{0})

^{2}/[itex]\mu[/itex]*m*g*cos[itex]\Phi[/itex]