- #1

NAkid

- 70

- 0

A car (m = 890.0 kg) traveling on a level road at 27.0 m/s (60.5 mph) can stop, locking its wheels, in a distance of 60.0 m (196.9 ft). Find the size of the horizontal force which the car applies on the road while stopping on the road. First solve this problem using work/energy concepts and then check your answer using kinematics/force law concepts.

I solved this by finding the acceleration and plugging into formula F=ma=5402N

The second part asks

Find the stopping distance of that same car when it is traveling up a 18.9deg slope, and it locks its wheels while traveling at 27.0 m/s (60.5 mph). Assume that muk does not depend on the speed.

I drew a free body diagram and came up with the following relationships

F-fk-mgsin(18.9)=ma where F=5402N

N-mgcos(18.9)=0

How do I solve for the horizontal distance? Is it just the vertical component of the Force?