You are being chased by crazy people who hate physics! Luckily you know the road you are driving on and your car really well. You know you are driving a 2000 kg car at 67 m/s and about to take a left turn around a curve of radius 60 m on a level (unbanked) road. (You
You are being chased by crazy people who hate physics! Luckily you know the road you are driving on
and your car really well. You know you are driving a 2000 kg car at 67 m/s and about to take a left turn
around a curve of radius 60 m on a level (unbanked) road. (You also remember the coefficient of static
friction is 0.9 between the road and your tires.) If you take the turn at the correct speed you will escape
and also not get into an accident.
A) Draw a free body diagram of your car during the turn.
B) What is the maximum static friction force between the road and your tires?
C) What is the maximum speed that you should slow down to if you do not want to slide during the
turn?
D) How much work do your breaks need to do, in order for you to slow down enough?
E) Assuming you don’t skid (static friction), how far before the curve should you start slowing down?
F) If you couldn’t slow down at all (still going 67 m/s), at what angle would the curve of the road need
to be banked at in order to be able to turn and have the friction force from the road be zero?
G) Please note that you should be careful doing calculations at high speeds. In addition speeding tickets
at that speed are very expensive, and “for science” is not a good reason apparently. For this answer
please just confirm that you will not attempt to test any of this out. (67 m/s = 150 mi/h)
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