Answer to Question #335325 in Physics for clar

Question

Compute the minimum distance that a truck slides on a horizontal asphalt road if it is traveling at 20 m/s? The coefficient to sliding friction between asphalt and rubber tire is at 0.50. The weight of the truck is 8000 kg

Answer 1

The work-energy theorem says

$$\frac{mv^2}{2}=Fd=\mu mg d$$

Hence, the distance traveled by a truck to the rest

$$d=\frac{v^2}{2\mu g}=\frac{20^2}{2*0.5*9.8}=40.8\:\rm m$$