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You pull a 48 kg child in a wagon with a force of 187 N along the handle, which is at 12 degrees above the horizontal. If the wagon moves at a constant velocity of 3.8 m/s, what is the coefficient of kinetic friction between the wheels and the sidewalk?

Answer :

Final answer:

To find the coefficient of kinetic friction between the wheels and the sidewalk, divide the horizontal component of the force by the weight of the child.

Explanation:

To find the coefficient of kinetic friction between the wheels and the sidewalk, we need to first calculate the net force acting on the wagon. Using the given force of 187 N and the angle of 12 degrees above the horizontal, we can calculate the horizontal component of the force using trigonometry. The horizontal component of the force is the force that opposes the friction force. By dividing this force by the weight of the child, we can find the coefficient of kinetic friction.

Using the equation:

Coefficient of kinetic friction = (Horizontal component of force) / (Weight of the child)

we can plug in the values and calculate the coefficient of kinetic friction.

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