Work-Energy
and Momentum
Part III, Analysis
• At this point, all the
yellow boxes in the tables of the worksheet should be full. Now
is a good time to put all of the units of your data into the square
brackets.
• In the following, remember that to calculate a
change, you subtract the initial value from the final value, e.g., ΔK =
Kf - Ki. Lower-case variables refer to an
individual cart and
upper-case ones to both carts.
• Calculate the kinetic energies of the individual carts
before and after the collision and place your values into the green
boxes in the second column. At the top of the third column,
calculate the change in kinetic energy of the individual carts.
Then calculate the initial and final kinetic energies of the two carts
summed together, followed by the change in kinetic energy of the two
carts, and finally divide the change in kinetic energy by the initial
kinetic energy (the proportional change in kinetic energy).
• The fourth and fifth columns for the momentum follow the
same pattern as the second and third columns for kinetic energy.
The fourth column contains the x-components of the momenta for the
individual carts just
before and just after the collision. The fifth column is for the
values of the momentum changes for the individual carts, the total
initial and final momenta, the change in total momentum, and the change
divided by the initial momentum.
• There are four fractional changes on your
worksheet. Two should be greater than 0.100, and two should be
less. Make sure you understand why before you answer the
individual questions on the worksheet.
If all has gone well today, you will have demonstrated that independent
of the materials involved one entity (kinetic energy or momentum) is
conserved (i.e. remains the same) during a collision, and the other one
is not. The other entity will be very different depending on the
kind of collision.
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Worksheet
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