A car is traveling up a hill that is inclined at an angle θ above the horizontal. Determine the ratio of the magnitude of the normal force to the weight of the car when (a) θ = 15o and (b) θ = 32o.

Answer 1

Wc = M*g.

Fn = Mg*Cos15.

a. Fn/Wc = Mg*Cos15/Mg = Cos15 = 0.966.

b. Fn/Wc = Mg*Cos32/Mg = Cos32 = 0.848.

Answer 2

A car is traveling up a hill that is inclined at an angle θ above the horizontal. Determine the ratio of the magnitude of the normal force to the weight of the car when (a) θ = 16o and (b) θ = 35o.

(a) Ratio = Number
0.96
Units?

(b) Ratio = Number
0.82
Units ?