Question

A car is traveling up a hill that is inclined at an angle ? above the horizontal. Determine the ratio of the magnitude of the normal force to the weight of the car when ? is equal to the following.

(a) ? = 15°
Ratio =
(b) ? = 33°
Ratio =

Answer 1

The ratio of the magnitude of the normal force to the weight of the car can be calculated using the cosine of the angle of inclination.

Step-by-step explanation:

When a car is traveling up a hill inclined at an angle θ above the horizontal, the normal force and weight of the car are related by the equation:

Ratio = Normal force / Weight

To calculate the ratio, we can substitute the values of θ:

(a) θ = 15°: Ratio = cos(15°)

(b) θ = 33°: Ratio = cos(33°)

Using a calculator, we can find the decimal values of the cosines of 15° and 33° and use those in the ratio calculations.