Friction - truck on a slippery road

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    Friction Truck
AI Thread Summary
A truck traveling at 40 m/s on a slippery road with a coefficient of kinetic friction of 0.30 begins to skid when the brakes are applied. To determine the skid distance, the equations of motion and friction are utilized, specifically F=ma for acceleration and the kinematic equation x = (v^2 + V_initial^2) / 2a. The calculation involves finding the acceleration using the frictional force, which is derived from the coefficient of friction and gravitational acceleration. The final skid distance can be calculated by substituting the known values into the equations. The discussion emphasizes the importance of correctly applying physics principles to solve the problem.
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Homework Statement


A truck is traveling at 40 m/s on a slippery road. The driver slams on the brakes and the truck starts to skid. If the coefficient of kinetic friction between the tires and the road is 0.30, how far will the truck skid before stopping?


Homework Equations



ma=-ug
V^2 = Vintial +2at
x = (v^2 + Vintial^2)/2a

The Attempt at a Solution


would it be 40^2 divided by .6(9.8m/s)
 
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Use F=ma in the x-direction to get the acceleration, and then your third equation gets you all the way home.
 

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