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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 80 kgkg combined mass of the bike and rider, leaving a skid mark that is 40 cmcm 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.

Respuesta :

hamzaahmeds

Answer:

E = 251.14 J

Explanation:

The thermal energy deposited in tire can be given by the following formula:

[tex]E = fd[/tex]

where,

E = thermal energy = ?

f = frictional force = μW = μmg

d = distance covered = 40 cm = 0.4 m

m = mass = 80 kg

μ = coefficient of friction = 0.8

Therefore,

[tex]E = \mu mgd\\E = (0.8)(80\ kg)(9.81\ m/s^2)(0.4\ m)[/tex]

E = 251.14 J