Answer to Question #330531 in Mechanics | Relativity for Audry

Question

a car is traveling up a hill that is inclined at an angle x above the horizontal determine the ratio of the magnitude of the normal force to the weight of the car when x=15degrees and x=35degrees

Answer 1

 The ratio of the magnitude of the normal force to the weight of the car:

$r=\frac{mgcosx}{mg}=cosx.$

When x=15 degrees:

$r=cos15\degree=0.97.$

When x=35 degrees:

$r=cos35\degree=0.82.$