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jolli1 [7]
3 years ago
15

You are driving a 2420.0-kg car at a constant speed of 14.0 m/s along a wet, but straight, level road. As you approach an inters

ection, the traffic light turns red. You slam on the brakes. The car's wheels lock, the tires begin skidding, and the car slides to a halt in a distance of 26.8 m.
What is the coefficient of kinetic friction between your tires and the wet road?
Physics
1 answer:
Mila [183]3 years ago
5 0

Answer:

U_k = 0.3731

Explanation:

First we will identify the important data of the question.

M = 2420 kg

V = 14 m/s

d = 26.8 m

U_k = ?

So, we will use the law of the conservation of energy, it says that:

E_i - E_f = W_f

therefore:

E_i = \frac{1}{2}MV^2\\E_f = 0\\W_f = F_kd

where F_k is the friction force

Replacing on the first equation, we get:

\frac{1}{2}MV^2 -0 = F_kd

F_k is also equal to U_kN

where N is the normal force and Uk is the coefficient of kinetic friction.

solving the equation:

\frac{1}{2}(2420)(14)^2 = U_kN(26.8)

Before solve for U_k we need to know the value of N, so we use the law of newton as:

∑F_y = N - (2420)(9.8m/s) = 0

N = 23716

Finally, just solve for U_k as:

U_ k = \frac{\frac{1}{2}(2420)(14)^2 }{(26.8)(23716)}

U_k = 0.3731

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