Asked by Pat

A bicyclist is coasting down a road that is sloped downward at an angle of 8°. The bicycle and bicyclist have a total mass of 80 kg. If the bicycle wheels roll freely, without any effect from friction or air resistance slowing the motion, how fast would the bicyclist accelerate?

Answers

Answered by Henry
Wc = mg = 80kg * 9.8N/kg = 784N. = Weight of bicyclist and bike.

Fc = 784N. @ 8deg.
Fp = 784sin8 = 109.1N.. = Force parallel to hill.

Fn = Fp = 1o9.1N.
Fn = ma,
a = Fn / m = 109.1 / 80 = 1.36m/s^2.

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