You are driving your car uphill along a straight road. Suddenly, you see a car run a red light and enter the intersection just ahead of you. You slam on your brakes and skid in a straight line to a stop, leaving skid marks 100 feet (30.5 m) long. A policeman observes the whole incident and gives a ticket to the other car for running the red light. He also gives you a ticket for exceeding the speed limit of 30 mph (13.4 m/s). You are pretty angry about getting this ticket. When you get home, you read your physics book and estimate that the coefficient of kinetic friction between your tires and the road is 0.60, and the coefficient of static friction is 0.80. You estimate that the hill made an angle of about 10 degrees with respect to the horizontal. You look in your owner's manual and find that your car weighs 2,050 lbs (932 kg). Use conservation of energy to decide whether or not it is worth fighting the ticket in court?
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