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Under normal conditions, the car rolls to a stop, leaving no skid along the road surface. However, when the driver brakes suddenly, the tires can lock, causing the car to skid. Police officers use the length of skid marks d to estimate the initial speed v0 of the vehicle at the onset of braking. Determine the coefficient of kinetic friction. Express your answer in terms of d and v0 and free fall acceleration g.

Respuesta :

Answer:

[tex]\mu = \dfrac{v_0^2}{2gd}[/tex]

Explanation:

given,

initial velocity = v₀

final velocity = 0

length of skid = d

acceleration due to gravity

using equation of motion

v² - u² = 2 a s

0 - v₀² = 2 a d

[tex]a = \dfrac{-v_0^2}{2d}[/tex]

using expression for acceleration due to skidding

[tex]\dfrac{-v_0^2}{2d}= -\mu g[/tex]

[tex]\mu = \dfrac{v_0^2}{2gd}[/tex]

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