**61. ssmA truck is traveling at 11.1 m/s down a hill when the brakes on all four wheels lock. The hill makes an angle of 15.0° with respect to the horizontal. The coefficient of kinetic friction between the tires and the road is 0.750. How far does the truck skid before coming to a stop?

Modified Work-Energy

 

 

Since the truck is skidding to a stop.

 

 

Putting these together

 

Now solve for d

 

 

 

Need fk, so sum forces perpendicular

 

Since the truck is not moving perpendicular to the road.  So we can now find the normal force and thus also the kinetic friction force.

 

 

Plug that into the equation for d

 

 

 

 

 

 

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This page last updated on January 11, 2020