1. A frictionless ice cube is initially at rest on top of a semicircular igloo. The igloo has radius
R
=2.8
m. The ice cube starts to slide along the surface of the igloo (with an initial speed of zero at the top
of the igloo), and leaves the surface of the igloo at an angle
è
above horizontal as shown. The ice cube
hits the ground a horizontal distance
d
away from the edge of the igloo.
a) Find the speed of the ice cube when it hits the ground.
7.41 m/s
b) Find
è
, the angle above horizontal at which the ice cube first leaves the surface of the igloo.
41.8
0
c) Determine the velocity (magnitude and angle below horizontal) of the ice cube at the moment that
it leaves the surface of the igloo.
4.28 m/s at 48.2
0
d) Find
d
, the distance from the edge of the igloo to the point where the ice cube first hits the ground.
0.349 m
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2. Fill in the blank with the most appropriate answer to the following questions.
a) Kate, a bungee jumper of mass 70 kg, wants to step off the edge of a bridge that is a height 80 m
above a river. Her bungee cord has a spring constant of 100 N/m, and an unstretched length of
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 Spring '08
 Chamberlin
 Physics, Force, Friction, Mass, 2 m/s, Ice Cube, 2.8 m, 0.349 M

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