Your 3.10 kg physics book is next to you on the horizontal seat of your car. The coefficient of static friction between the book and the seat is 0.640, and the coefficient of kinetic friction is 0.540. Suppose you are traveling at 79.2 km/h = 22.0 m/s and brake at a constant rate to a stop over a distance of 65.4 m.
The answer is 35.2 N and 65.3 degrees with the horizontal.
What force does the seat exert on the book in this process?
(Upward Force in N, and the backwards angle for it)
The Attempt at a Solution
I am having trouble visualizing though because I know the F is not solely in the y direction (from the seat) but I don't know how I should go about finding it. I tried to break it up into components and solve for theta using arctan, but this did not work either.