A car is traveling up a hill that is inclined at an angle of ? above the horizon

Question

A car is traveling up a hill that is inclined at an angle of ? above the horizontal.


(d) What is the algebraic expression for the ratio of the magnitude of the normal force to the weight of the car? Express your answer in terms of the angle ? at which the hill is inclined. (Use theta as needed.)
Ratio =


(e) Determine the ratio of the magnitude of the normal force to the weight of the car when ? = 12°.
Ratio =


(f) Determine the ratio of the magnitude of the normal force to the weight of the car when ? = 32°.
Ratio =

Explanation / Answer

cos (theta) = N / W So for (d), the ratio would be cos(theta) (e) cos(12) = .978 (f) cos(32) = .848

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