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## Homework Statement

Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway trucks that have lost their brakes. The combination of a slight upward slope and a large coefficient of friction in the gravel brings the truck safely to a halt. Suppose a gravel ramp slopes upward at 7.90° and the coefficient of friction is 0.380. Find the length of a ramp that will stop a 15222.0 kg truck that enters the ramp at 37.0 m/s.

## Homework Equations

E=0.5mv

^{2}

Work= Fd

Ffriction = [tex]\mu[/tex]mgcos[tex]\vartheta[/tex]

## The Attempt at a Solution

i equated the work equation to the energy one to form Fd=0.5mv

^{2}. for F I substituted this equation :

Ffriction = [tex]\mu[/tex]mgcos[tex]\vartheta[/tex] and solved for distance... and i'm not getting the answer would love any help given thanx