Problem Sheet 8: Ch 8
GE 208K
1.
A 400 N child is in a swing that is attached to a rope 2.0m long Find the
gravitational potential of the childEarth system relative to the child’s lowest
position when
a.
The rope is horizontal
b.
The rope makes an angle of 30
°
with the vertical
c.
The child is at the bottom of the circular arc
2.
A 1000kg roller coaster is initially at the top of a rise at point A. It then moves
135 ft at an angle of 40
°
below the horizontal, to a lower point B.
a.
Choose point B to be the zero level for gravitational potential energy. Find
the potential energy of the roller coaster Earth system at points A and B
and change in the potential as the coaster moves.
b.
Repeat part a. setting the zero potential reference level at A.
3.
A glider of mass 0.15 kg moves on a horizontal frictionless track. It is
permanently attached to one end of a mass less horizontal spring, which has a
spring constant of 10.0N/m. The other end of the spring is fixed. The glider is
moved to compress the spring by 018m and then released from rest. Calculate the
speed of the glider
a. Where it has moved 0.18m from its starting point, so that the spring is
momentarily exerting no force
b. At the point where it has moved 0.25m from its starting point
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 Spring '10
 Tsoi
 Force, Potential Energy, 5.00m, 0.1M, 3.00m, 3.0m

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