A bicyclist travels in a circle of radius 23.6 m at a constant speed of 7.19 m/s. The bicycle-rider mass is 79.0 kg. Calculate the magnitudes of (a) the force of friction on the bicycle from the road and (b) the net force on the bicycle from the road.

(a)

(b)

Explanation:

According to the free body diagram of the bicyclist, we have:

Here is the centripetal force, which is defined as:

(a) Replacing this in the sum of the force in the x-axis, we calculate the force of friction on the bicycle from the road:

(b) The forces on the bycicle from the road are the friction force and the normal force. This forces are perpendicular. So, the net force is:

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