Equation 22 from problem 30

Enter Ss

Enter g

Enter v

Enter α

Equation 22 result is Ss1


Forces acting upon a car moving downhill:

FG…gravitational force

N2…normal force with which the road acts upon the car

Fb2…braking force

Equation of motion for a car going downhill:

Fb2 + FG + N2 = ma2

We rewrite the equation using scalars and choose a coordinate system such that the x axis is parallel to the movement of the car. The y axis is perpendicular to the x axis. We split the gravitational force into two components in the directions of the axes:

Explanation in paragraphs and mathjax steps from 22 to 25 equation

Enter m

Equation 25 result is Fb2