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28 Critical Thinking A ball drops 20 m When it has fallen half the distance, or 10 m, half of its energy is potential and half is kinetic When the ball has fallen for half the amount of time it takes to fall, will more, less, or exactly half of its energy be potential energy
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Section 112 Conservation of Energy
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Conservation of Energy
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There are many examples of situations where energy is conserved One such example is a rock falling from a given height If the rock starts at rest, at the moment the rock is dropped, it only has potential energy As it falls, its potential energy decreases as its height decreases, but its kinetic energy increases The sum of potential energy and kinetic energy remains constant if friction is neglected When the rock is about to hit the ground, all of its potential energy has been converted to kinetic energy In this experiment, you will model a falling object and calculate its speed as it hits the ground
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How does the transfer of an object s potential energy to kinetic energy demonstrate conservation of energy
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Calculate the speed of a falling object as it hits
Materials
grooved track (two sections) marble or steel ball stopwatch block of wood electronic balance metric ruler graphing calculator
the ground by using a model Interpret data to find the relationship between potential energy and kinetic energy of a falling object
Safety Precautions
Procedure
1 Place the two sections of grooved track together, as shown in Figure 1 Raise one end of the track and place the block under it, about 5 cm from the raised end Make sure the ball can roll smoothly across the junction of the two tracks 2 Record the length of the level portion of the track in the data table Place a ball on the track directly above the point supported by the block Release the ball Start the stopwatch when the ball reaches the level section of track Stop timing when the ball reaches the end of the level portion of the track Record the time required for the ball to travel that distance in the data table 3 Move the support block so that it is under the midsection of the inclined track, as shown in Figure 2 Place the ball on the track just above the point supported by the block Release the ball and measure the time needed for the ball to roll the length of the level portion of the track and record it in the data table Notice that even though the incline is steeper, the ball is released from the same height as in step 2 4 Calculate the speed of the ball on the level portion of the track in steps 2 and 3 Move the support block to a point about three-quarters down the length of the inclined track, as shown in Figure 3
Figure 3 302
Horizons Companies
Data Table
Release Height (m) 005 005 005 001 002 003 Distance (m) Time (s) Speed (m/s)
5 Predict the amount of time the ball will take to travel the length of the level portion of the track Record your prediction Test your prediction 6 Place the support block at the midpoint of the inclined track (Figure 2) Measure a point on the inclined portion of the track that is 10 cm above the level portion of the track Be sure to measure 10 cm above the level portion, and not 10 cm above the table 7 Release the ball from this point and measure the time required for the ball to travel on the level portion of the track and record it in the data table 8 Use a ruler to measure a point that is 20 cm above the level track Release the ball from this point and measure the time required for the ball to travel on the level portion of the track Record the time in the data table 9 Repeat step 8 for 30 cm, 40 cm, 50 cm, 60 cm, 70 cm, and 80 cm Record the times
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