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A cart starting from rest rolls down a frictionless 1.0 m high hill. It travels a distance 2.0 m along the rough bottom surface until it comes to rest. What is the coefficient of kinetic friction along the bottom surface?
a. 4 m/s.
b. 0.5 m/s.
c. 25 m/s.
d. 7 m/s.
e. 6 m/s.

Respuesta :

Answer:

Option B is correct.

Explanation:

Given data

Height of the hill = AB = 1 m

Distance traveled  along the rough bottom surface = AC = 2 m

Now from the ΔABC

[tex]\sin \theta = \frac{AB}{AC}[/tex]

[tex]\sin \theta = \frac{1}{2}[/tex]

[tex]\theta = 30[/tex] °

We know that  the coefficient of kinetic friction is

[tex]\mu = \tan \theta[/tex]

[tex]\mu = \tan 30[/tex]

[tex]\mu =[/tex] 0.5

This is the value of the coefficient of kinetic friction

Thus option B is correct.

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