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It is a beautiful spring day so you decide to take a cruise in your fancy...

It is a beautiful spring day so you decide to take a cruise in your fancy new 1200kg convertible. While
driving, you notice a sign that says “Warning! Flat level curve with radius 45m. Coefficient of static friction for
all tires µs = 0.50.” With your knowledge of physics:
(a)[7 pts] What is the maximum speed that you can safely negotiate the curve (without sliding)?
(b)[4 pts] What is your centripetal acceleration at this speed around the curve?
(c)[6 pts] Draw a free body diagram for your car as it rounds the curve. Make sure you include all the forces.

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