(Solved): When you skid to a stop on your bike, you can significantly heat the small patch of tire that rubs ...

When you skid to a stop on your bike, you can significantly heat the small patch of tire that rubs against the road surface. Suppose a person skids to a stop by hitting the brake on his back tire, which supports half the \( 90 \mathrm{~kg} \) combined mass of the bike and rider, leaving a skid mark that is \( 48 \mathrm{~cm} \) long. Assume a coefficient of kinetic friction of \( 0.80 \). How much thermal energy is deposited in the tire and the road surface? Express your answer with the appropriate units.