Lab 7 - Elasticity
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Portland State University *
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Electrical Engineering
Date
Dec 6, 2023
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5
Uploaded by ColonelGuanaco3706
Mohamed Aden
10/13/2023
Lab #7
Elastic and Inelastic collison
Q1: What might cause a collision to be other than perfectly elastic or totally inelastic?
Collisions can be other than perfectly elasticity or total inelasticity becauseof factors
like energy dissipation, deformation, friction, and rotational motion. Real-world collisions
mostly involve some level of energy loss as heat or deformation, leading to a reduced
elasticity compared to ideal situations.
Q2: Modern cars are designed with “crumple zones” (areas that are designed to be
deformed during a collision). Considering that this deformation takes energy, is this
good or bad design on the part of the engineers? Why or why not?
Crumple zones in car is a good design by engineers because thse zones absorb energy
during collisions, it is included for safety purposes. These crumple zones reduce the
impact transferred to the person in the car which reduces the risk of serious injury.
Q3: What quantities are conserved in this collision? Explain your answer.
The momentum and kinetic energy are conserved in this collision. Momentum is always
conserved if there is no external force acting on the objects, and since the collison is
elastic the kinetic energy is conserved.
Q4: Assuming that mass is constant, and considering v1 to be an independent variable,
Eq. 7.5 describes a linear relationship. Write an expression for the slope of Eq. 7.5.
The equation for the slope of the linear relationship is slope =
2𝑚
1
/𝑚
1
+ 𝑚
2
Mass of red box = 4kg (
𝑚
1
)
Mass of blue box = 2kg
(
𝑚
2
)
Elasticity at 1
Trials
𝑣
1
(𝑚𝑠)
𝑣'
2
(𝑚𝑠)
1
10.0
13.3
2
8.0
10.7
3
6.0
8.0
4
4.0
5.3
5
2.0
2.7
Analysis:
Q5: Using your values for m1 and m2, what is the numerical value for your theoretical
slope?
Using our equation from Q4, we’d get the numerical value for our theoretical
slope
→
2(4kg)/4kg + 2kg = 1.3.
Q6: Considering your best-fit equation, what is the numerical value for your
experimental slope?
The slope of our line of best fit is y = 1.33x + 0.02, so the numerical value of our
experimental slope is 1.3.
Q7: How does the numerical value for your experimental slope compare to the
numerical value for your theoretical slope?
Looking at both the theoretical and numerical values of the slopes, they are both the
same. There is a connection between the initial velocity of block one and the final
velocity of block 2. The final velocity of block two is the initial velocity velocity of block
one added to the mass of block one.
Q8: Is the total momentum conserved in this collision? Explain your answer.
The total momentum is conserved in the collision because there is no external force
present.
Q9: Assuming mass is constant, and considering v1 to be an independent variable, Eq.
7.6 describes a linear relationship. Write an expression for the slope of Eq. 7.6.
The equation for the slope of the linear relationship is slope =
.
𝑚
1
/𝑚
1
+ 𝑚
2
Elasticity at 0 ( Totally inelastic )
Mass of red box = 4kg (
𝑚
1
)
Mass of blue box = 2kg
(
𝑚
2
)
Trials
𝑣
1
(𝑚𝑠)
𝑣'
2
(𝑚𝑠)
1
10.0
6.7
2
8.0
5.3
3
6.0
4.0
4
4.0
2.3
5
2.0
1.3
Q10: Using your values for m1 and m2, what is the numerical value for your theoretical
slope?
Using our equation from Q4, we’d get the numerical value for our theoretical
slope
→
4kg/4kg + 2kg
→
4/6 = 0.67.
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Q11: Considering your best-fit equation, what is the numerical value for your
experimental slope?
The numerical value for our experimental slope is 0.69.
Q12: How does the numerical value for your experimental slope compare to the
numerical value for your theoretical slope?
Unlike the numerical value for our experimental and theoretical slopes for part 1, the
numerical value for our experimental and theoretical slopes aren’t the same this time.
They are very close but differ by 0.02.
At the end of your lab report, reflect on the prediction you made in your Pre-Lab
survey.
I predicted that the expected and calculated values of our slope were going to be either
similar or the same. Both these predictions held up true because our expectedl and
calculated values of our slopes for the elastic collisions were the exact same, while the
expected and calculated values of our slopes for the inelastic collisions were similar but
not the same. This is because there is a connection between the initial velocity of block
one and the final velocity of block two. I don’t think there were many errors that could
happen during this lab because all the data was taken from simulations which
eliminates any errors that could have come from a human. Which makes the lab results
a lot more accurate.
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