Trenton Gravity project
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Arapahoe Community College *
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Course
101
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Astronomy
Date
Dec 6, 2023
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docx
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Astronomy 1110
Lab 6
A
STRONOMY
1110
L
AB
6: G
RAVITY
Measuring Gravity
In this section, you’ll measure the influence of the Earth’s gravity on different objects.
1.
In the table below, list your three objects in order of decreasing mass (most massive
first).
a.
Take a photo of your objects, with your Student Information card, and insert it
below.
2.
Predict
which object should fall fastest and which should fall slowest from your list.
Explain your reasoning.
In the past, before I studied science, I would have guessed the flip flop would fall the
fastest due to it’s larger mass. I have learned previous to this experiment that mass does
not determine the speed at which an object will fall and fully expect all objects to fall at
the same rate, not accounting for human error.
Object Name
Trial 1
Trial 2
Trial 3
Average
Expo Marker
.35 seconds
.31 seconds
.36 seconds
.34 seconds
Bottle Cleaner
.38 seconds
.33 seconds
.44 seconds
.38 seconds
Flip Flop
.38 seconds
.43 seconds
.40 seconds
.40 seconds
Using your ruler or meter stick, find a position 1 meter above the floor.
o
If you are using a ruler, you may wish to use clear tape to mark a location on your wall.
o
Be careful when removing your tape.
o
Take a photo of your set up, with your Student Information card, and insert it below.
3.
Once you have found a spot one meter above the floor, drop each object and time how
long it takes to hit the ground using your stopwatch.
Record
your result in the column
labeled “Trial 1”.
Repeat
the experiment two more times.
4.
Repeat the experiment in #2 for your two remaining objects.
5.
Calculate the average of the three trials for each object to find the average falling time
for that object. Record the result in the appropriate column of the data table.
6.
Do the average falling times you calculated match your predictions in #2? Why or why
not?
I believe the average falling times I calculated match my predictions in #2. This is a small
drop so a lot of human error can occur but the average times of each objects happen
within .06 seconds at most which is about the same fall time for each object.
7.
Predict
how the falling time of a piece of paper should compare to the results you
measured in your table.
Paper should fall slower than the objects measured in my table because the shape and
material of the paper will cause it to float on its way down.
Page 1
Colorado Online @
Astronomy 1110
Lab 6
Trial 1
Trial 2
Trial 3
Average
Flat
1.7 seconds
1.3 seconds
1.38 seconds
1.46 seconds
Crumpled
.46 seconds
.41 seconds
.46 seconds
.44 seconds
8.
Why does the paper fall faster when it is crumpled compared to when it is flat?
The paper falls faster when it is crumpled compared to when it is flat because the flat
paper meets air resistance and floats down slowly, the crumpled paper does not have
the same air resistance so it falls faster.
9.
How does the falling time of the crumpled paper compare with the falling times of your
three objects in the previous table?
The falling time of the crumpled paper compares better with the falling time of the three
objects than with a flat piece of paper. The falling time was .1 second slower than the falling
time of the fastest falling time object.
10. There is no air on the Moon. How would the falling time of a flat paper compare to a
hammer if you dropped both of them on the Moon?
When there is no air resistance the falling time of flat paper should be the same as the
hammer if these objects were dropped on the Moon.
Conservation of Energy
The concept of “energy” is an incredibly useful tool for scientists. Simply put, energy is the
ability of an object to alter its environment. Energy considerations can dramatically simplify the
analysis of many scenarios, especially events that include rapidly-varying forces.
Energy comes in two basic forms, kinetic and potential. Kinetic energy is carried by objects in
motion. This can include a flying baseball or a car in motion, but it also includes the thermal
energy (heat) carried by the motions of atoms in a fluid.
Potential energy is energy in waiting. Under the right circumstances, potential energy can turn
into kinetic energy. For example, a roller coaster at the top of a hill carries a lot of potential
energy due to its position above the ground. Objects that feel the force of gravity carry more
potential energy as they get farther away from the source of gravity. That’s why a taller roller
coaster is more fun (or more terrifying!).
Energy is useful because it is conserved.
That means that energy is not created or destroyed.
It merely changes form from one type of energy to another.
In this exercise, you will observe
the conservation of energy and see how it changes from one form to another.
In this section, you’ll use recordings of the
Skate Park Simulator
from PhET to explore and
quantify the connection between energy of motion and energy of position. This simulator runs
in any modern browser. While not necessary for this lab, you should feel free to play around
with the simulator.
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Astronomy 1110
Lab 6
11. Soon, you’ll watch a pair of videos showing skaters riding skateboards without friction.
For the sake of argument, imagine that their initial heights are 5 meters above the
ground.
a.
Predict
how the first skater’s maximum height on the left side of the ramp will
compare to her maximum height on the right side of the ramp.
I predict the first skater’s maximum height on the left side of the ramp will be the
same as her maximum height on the right side of the ramp.
b.
Predict
how the second skater’s speed of motion will change as he goes from his
initial position to the bottom of the track and back up the other side.
The second skater’s speed of motion will accelerate from the initial position to
the bottom of the track and decrease in speed from the bottom to the other side.
Figure 1:
Energy Skate Park: Potential Energy
simulation showing the connection between height and gravitational potential
energy. Recorded from the
Energy Skate Park Simulator
from PhET. (
CC BY 4.0
). Video by David Atlee (CC BY 4.0 via YouTube)
12. Watch the first video. How does the skater’s maximum height on the left and right sides
of the ramp compare?
In the first video the skater’s maximum height on the left and right sides were the same
with the absence of friction.
e
Figure 2:
Energy Skate Park
simulation showing the exchange of kinetic and potential
energy. Recorded from
the Energy Skate Park Simulator
from PhET (
CC BY 4.0
). Video by
David Atlee (CC BY 4.0 via YouTube)
13. Watch the second video. How does the skater’s velocity
change as he moves along the track?
The skater’s velocity increases when going down the ramp
and reaches max velocity at the bottom of the ramp. The
skater’s velocity going up the ramp decreases and comes
to a small pause at the top before coming back down
again.
Page 3
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Colorado Online @
Astronomy 1110
Lab 6
14. Did your predictions in 13a) and 13b) match the behavior of the skater? Why or why
not?
My predictions above matched the behavior of the skater because of observations made
at skate parks previously. The absence of friction allows for the skater to reach the same
free fall maximum heights.
Orbits
We’ve learned about Kepler’s Laws and how they can be used to describe the motions of
planets within our solar system. Let’s try to connect the motions of the planets to what you’ve
learned about Newton’s Laws and gravity.
Figure 3: The Moon's orbit around the Earth. Adapted from original images by NASA.
15. The image in Figure 3 shows a schematic of the Moon’s orbit around the Earth. Imagine
the Moon is moving in the direction indicated by the arrow. In the absence of a force
acting on the Moon, how will it behave?
If there is an absence of a force on the moon the moon will continue up and continue
straight and break its normal orbit from the Earth.
16. What force is responsible for keeping the Moon in orbit around the Earth? (use full
sentence)
Gravity is the force responsible for keeping the Moon in orbit around the Earth.
Page 4
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Astronomy 1110
Lab 6
Figure 4: A highly-elliptical orbit. The yellow circle marks the location of the Sun, which is off-center at one focus of the ellipse.
(Adapted from original work by NAAP Labs)
17. Use what you know about Kepler’s Second Law to rank the speed of motion of the
planet at points A, B, and C in order of increasing speed (slowest location first).
The planet at point C will be the slowest speed, the planet will be moving faster at point
B, and finally at point A the planet will be moving the fastest of all the other points.
18. At which location in Figure 4 is the potential energy of the planet greatest? At which
point is potential energy smallest?
At point C potential energy of the planet is the greatest and potential energy is smallest
at point A.
19. Use conservation of energy arguments to explain why the results of #19 and #20 are
different. How are the two rankings connected to one another?
The results of 19 and 20 differ due to the constant of mechanical energy. An object
further away from the sun will have a greater potential energy but a smaller kinetic
energy. An object closer to the sun will have a greater kinetic energy but a smaller
potential energy but both planets will contain the same mechanical energy.
Page 5