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Due Wed Feb. 21, 2007, 9:00AM
1. Highway
curves are usually banked (tilted inward) at an angle q such that the
horizontal component of the normal force equals the required centripetal force.
a) Find
the proper banking angle for the car moving at 80km/h to go around a circular
curve 200 m in radius.
b) If
the curve were not banked, what coefficient of friction would be required
between the tires and the road?
2. A ball of mass 0.5 kg is kicked into the air at an
angle of 45กใ with an initial velocity of 30m/s. 2.0 seconds later, it reaches its maximum height at point A with a
velocity of 10.0m/s to the right. Find the average acceleration of the ball in
the first 2.0 seconds.