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Question:
A box slides down a 30.0° ramp with an acceleration of 1.20 m/s^2. Determine the coefficient of kinetic friction between the box and the ramp.
Answer:
The coefficient of kinetic friction between the box and the ramp is 0.71.
Given data:
The angle of inclination is, .
The acceleration of box is, .
The frictional force acting on the box is,
Here, is the coefficient of kinetic friction and N is the normal force.
The normal force in an inclined plane is,
Since the frictional force causes the acceleration (a) of box,
Solving as,
Thus, the coefficient of kinetic friction between the box and the ramp is 0.71.
Learn more about frictional force here:
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