7.93.
Set Up:
First set the final kinetic energy of the object to one half of the initial elastic potential energy:
or
Solving for the speed,
Solve:
Reflect:
This gives
and
The object has moved 3.5 cm, less than half
the total distance of 12.0 cm.
7.94.
Set Up:
Applying
in part (a),
since both spring forces are to the left. In
part (b), use
For part (c), apply the conservation of energy to obtain
where the
mass of the ball is
Solve: (a)
(to the left)
(b)
(c)
7.95.
Set Up:
Apply the adapted version of the conservation of energy for nonconservative forces:
where
and
Solve: (a)
Solve for the initial velocity to determine the driver’s speed at impact:
The driver was thus 15 mph over the posted speed limit at the instant he struck the pedestrian.
(b)
The driver must pay a ticket fine of
7.96.
Set Up:
Use the principles of energy conservation with 1, 2, 3, and 4 representing the energy states as shown
in the schematic and
Figure 7.96
Solve:
Since
the ball loses 25% of its maximum potential
energy. Similarly,
and, neglecting air drag,
thus
the ball also loses 25% of its kinetic energy. The loss of speed is determined by examining kinetic energy:
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 Spring '07
 Shoberg
 Energy, Kinetic Energy, Potential Energy, Work, K1

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