phys172_rec02_echinitz.ipynb - Colaboratory
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School
Purdue University *
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Course
172
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
6
Uploaded by CountMaskWildcat26
1/20/23, 12:57 PM
phys172_rec02_echinitz.ipynb - Colaboratory
https://colab.research.google.com/drive/1UzW28RkjJz1eiSakW3OIyEGv6-1QguH7#scrollTo=ZExXpt9-TZXU&printMode=true
1/6
Chinitz
Eliana
Wed
12:30
12
Caitlyn Bowerman, Aliya Carmon, Tatum LeMaire
1/20/23, 12:57 PM
phys172_rec02_echinitz.ipynb - Colaboratory
https://colab.research.google.com/drive/1UzW28RkjJz1eiSakW3OIyEGv6-1QguH7#scrollTo=ZExXpt9-TZXU&printMode=true
2/6
Determine the position of the ball 0.1 s later, using a ∆
=
0.1 s.
Problem 1:
A paddle ball toy consists of a ±at wooden paddle and a
small rubber ball that are attached to each other by an elastic band
as shown. You have a paddle ball toy for which the mass of the ball is
0.015 kg
, the stiffness of the elastic band is 0.9 N/m
, and the
relaxed length of the elastic band is 0.30 m
. You are holding the
paddle, so the ball hangs suspended under it, when your cat comes
along and bats the ball around, setting it in motion. At a particular
instant the momentum of the ball is −0.02, −0.01, −0.02
kg
∙
m/s
,
and the moving ball is at a location −0.2, −0.61, 0
m
relative to
the origin located at the point where the elastic band is attached to
the paddle.
1/20/23, 12:57 PM
phys172_rec02_echinitz.ipynb - Colaboratory
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1.1 What principle(s)/concept(s) will you need to help solve
the problem?
The momentum priciple and spring.
1.2 What assumption(s)/approximation(s) do you need to
make to better help you solve the problem?
*Assume that air resistance/friction are negligible *gravity is contstant and 9.8 m/s^2 (on Earth)
*the ball is not moving close to the speed of light *the elastic band is a spring
1.3 Identify your system (i.e. objects experiencing a change)
and surroundings (i.e. objects causing the change).
*system: ball *surroundings: elastic band and the earth
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1/20/23, 12:57 PM
phys172_rec02_echinitz.ipynb - Colaboratory
https://colab.research.google.com/drive/1UzW28RkjJz1eiSakW3OIyEGv6-1QguH7#scrollTo=ZExXpt9-TZXU&printMode=true
4/6
Please type out your answer below.
<-0.3333, -0.3795, -0.1333> m
Very con±dent
Slightly con±dent
Slightly uncon±dent
Very uncon±dent
2.1 How con±dent are you in your answer? Choose one.
Slightly con²dent
1/20/23, 12:57 PM
phys172_rec02_echinitz.ipynb - Colaboratory
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5/6
2.2 If you were to solve this problem again using the same
initial conditions to determine the position of the ball 0.1s
later, but use a ∆
t=0.05s, will the answer be different? If so,
why?
Yes, the force is not constant so the momentum will change over time. Thus, the change in
posistion overtime will be different at t=0.05 and t=0.1
A CLAIM
is every decision you took to solve the problem i.e. choice of principle/concept,
system/surrounding, approximation/assumption, or key steps you used in your problem-solving
strategy – It is an assertion that that the decision was the right one to answer the key question(s) in
the problem statement.
2.3 In words, list the CLAIMS you made while constructing
your solution. There is no need to provide evidence or
reasoning at this time, but please use complete sentences.
A scienti±c argument consists of three pieces: and .
The problem uses the momentum principle and the idea of spring force. We assumed that air
resistance is negligable. We found that the system is the ball and the surroundings are the band and
the Earth.
2.4 Does your answer seem appropriate? Why or why not?
Yes, I would expect the y compontent to change the most and the others to still change but by less. I
would also expect all of the values to remain negative because they couldn't go above the paddle
which is at the orgin.
1/20/23, 12:57 PM
phys172_rec02_echinitz.ipynb - Colaboratory
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2.5 Are there other ways to solve this problem? Explain how
or why not.
Not right now.
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