Question

# A truck moves at a steady speed on a horizontal road. What is the work done by the road on the truck?

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Solution

## Step 1 GivenTruck is moving at a constant speed ie.$a=0$.Step 2 Formula used, Work done is defined as the dot product of force and displacement i.e.$W=\stackrel{\to }{F}.\stackrel{\to }{s}=\stackrel{\to }{|F}|×|\stackrel{\to }{s}|×\mathrm{cos}\theta$.Step 3 solution,Force applied by the road on the vehicle is $N$.Although the truck does have a displacement over time, the force of the road on the truck is perpendicular to the motion.Since force and displacement are perpendicular, the value$\mathrm{cos}\theta$ will be zero.Therefore the dot product, in that case, will be zero.Hence, the work done by the road on the truck is zero.

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