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On a normal day in the summer you can drive your 1050 kg car at a constant speed around
a corner whose radius of curvature is 12m without problems. The engineering staff at
CalTrans have determined that the maximum frictional force between your tires and the
road is 8100N under these circumstances.
What is the greatest speed that you can travel around the corner without
slipping?
One day as you are waiting for your friends at the (flat) soccer field you casually kick a
ball down the field. Amazingly you have kicked it at precisely 40◦ above horizontal at a
speed of 8.0m/s!! This is later verified through video analysis.
a) (8 points) How long is the ball in the air?
b) (9 points) How far from you is the ball when it lands? (Assume the answer to I) is 1.5
s if needed)
Calculate the maximum height reached
Calculate the time of flight
Calculate zthe horizontal displacement of the projectile
Batman (m = 85 kg) is trying to rescue Robin (m = 50. kg), who has fallen over the side of a building. Robin is hanging from the Batcable® while Batman is on the roof holding the other end and sliding perilously close to the edge. If the coefficient of friction between Batman and the roof is 0.25, what is their acceleration?
A bicycle and rider have a combined potential energy of 1400 J. What is the potential energy if the bicycle and rider have one fourth their mass at the same height?
What is the specific heat capacity of a 250, g,
250g object that needs 34, point, 125, k, J,
34.125kJ to have its temperature raised by 65, point, 0, degrees, C,
65.0∘
C?
