A dynamics cart with a friction pad is placed at the top of an inclined track and released from rest. The cart accelerates down the incline at the rate of 0.60 m/s^2.

If the track is angled at 10 degrees above the horizontal, determine the coefficient of kinetic friction between the cart and the track.

The coefficient of kinetic friction between the cart and the track is 0.114

Explanation:

Given;

Angle of inclination, θ = 10°

Acceleration of the cart, a = 0.60 m/s²

Apply Newton's law of motion

mgsinθ - μkmgcosθ = ma

Divide through by mass, m

gsinθ - μkgcosθ = a

μkgcosθ = gsinθ - a

where;

μk is the coefficient of kinetic friction between the cart and the track

Substitute the given values and calculate coefficient of kinetic friction μk

Therefore, the coefficient of kinetic friction between the cart and the track is 0.114

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