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Physics A
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1.1 Assignment: Powers of Ten Lab
Directions
:
Use the following website:
Secret Worlds: The Universe Within.
Scientists look at things in very particular ways using sophisticated equipment, everyday
instruments, and unlikely tools. Some things that scientists want to see are so small that they
need a magnifying glass, or a microscope. Other things are so far way that they need a powerful
telescope in order to see them. It is important to understand and be able to compare the size of
things we are studying.
Exponential notation is a way scientists write very large or very small numbers. For
example, when the Earth is seen at 10
+6
meters wide, this number represents
1,000,000 meters. When a nucleus of a cell is seen at 10
-6
meters wide, this number
represents one millionth of a meter, or 0.000001 meters. Notice how each picture in this
simulation is an image of something that is 10 times bigger or smaller than the one
before or after it. The number on the right is the size of what is seen in the picture. The
number on the left is the same number written in powers of ten, or
exponential
notation
.
In this simulation, you will first view the Milky Way at 10 million light years from the
Earth. Then move through space towards the Earth in single order of magnitudes until
you reach an oak tree just outside the National High Magnetic Field Laboratory in
Tallahassee, Florida. Then begin to move from the actual size of a leaf into the
microscopic world through leaf cell walls, cell nucleus, DNA and finally, into the
subatomic universe of electrons and protons. You will then manually reverse the
direction, moving from smallest to largest value, as you log your power of ten journey.
Activity
:
Log your "Power of Ten" journey into the universe by completing this table describing
your journey. Hopefully, you will be able to appreciate the powers of ten used in
exponential notation and learn a few metric prefixes along the way.
Start small and
manually move to the larger Exponential values. Have a safe journey!
Power of Ten
Description
Location
10
-15
1 femtometer
Face to face with a single proton
10
-14
10 femtometers
nucleus of the carbon atom
10
-13
100 femtometers
nucleus viewed beneath the electron
shells
10
-12
1 picometer
empty space between inner shell and
nucleus
10
-11
10 picometers
electron in the inner electron shell
10
-10
100 picometers
outer electron cloud of a carbon atom
© Copyright 2020 Michigan Virtual
Revised 6/20/2020
Page 1
10
-9
1 nanometer
DNA nucleotide building blocks
10
-8
10 nanometers
Individual DNA stands
10
-7
100 nanometers
chromatin in the leaf cell nucleus
10
-6
1 micrometer
the nucleus of a leaf cell
10
-5
10 micrometers
individual leaf cell
10
-4
100 micrometers
cells on the leaf surface
10
-3
1 millimeter
surface of an Oak leaf magnified 100
times
10
-2
10 millimeters
surface of an Oak leaf magnified 10 times
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adapt.libretexts.org
1: Moving Through Space
Time, Distance,
or Velocity?
+
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|
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Applications
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M nbe (107)
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i opervellumecollege.com/course htmicourseld 164527698OpenvellumHMAC-lafe182c0aaedbaeboc11954e25143710001
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Syllabus
Constants
Scores
The kinetic energy of a particle is 46 MeV.
eText
- Part A
Study Area
he momentum is 130 MeV/e, what is the partic's mass?
Express your answer using two significant figures.
Decument Sharing
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MeV/e
Ereriosn An RestAn
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X Incorrect; Try Again; One attempt remaining
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A.) How much is the time dilation?
B.) How old is the astronaut when he gets back on Earth?
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QUESTION 2
A parsec is a unit of length equal to about 3.10X1013 km. How long will it take light, moving at 3.00X108 m/s to travel 1.00 pars
(3.154X10 seconds = 1 yr)
O a.I don't know, but I made the Kessel run in less than 12 parsecs
b.3.27 yrs
O c. 10.3 yrs
O d.9.68 yrs
O e.525600 min
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Question B2
[This question will required roughly two single-sided A4 pages to answer.]
A binary star system consists of two stars that revolve about their centre of mass in circular
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from the two stars (known as a spectroscopic binary system) are observed to shift periodically
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c) Denoting a₁ and a2 as the distances of the two stars from the centre of mass, respectively,
find a relationship between the ratio of the masses of the two stars (M₁ and M2), ratio of
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Part 1. Stellar Mass Black Holes
These are the collapsed cores of massive stars which end their life in supernova explosions. The
stellar core can no longer use nuclear fusion to hold up the immense gravity, and collapses until
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Part A: The Schwarzschild Radius
The Schwarzschild Radius is defined as:
2GM
(1)
=
c2
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1. Let's say we have a black hole with a mass 10 times that of the Sun (the Sun's mass is 2 x
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M5NZY4NZI0/t/all
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ion and use of probability theory in Engineering context. Hence, you have to perform following tasks.
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Open with Google Docs ata. Pearon's correlation co-efficient, Linear
The magnitude of the gravitational force, F, between the two planets of masses mị and m2 with centres at distanc
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b. The life time, t, of a planet depends on the its mass, m, its initial radius, R, and the constant G and
dimensionless constant, K, so that t = mªG®R°.
where a, B, y are constants. Find the values of a, ß and y.
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b) Write the following 3 equations in compact form using the Einstein
convention.
XI= (a¡bı+a2bz+a3c3)yı + 5c1
X2= (a¡bı+a2bz+a3c3)y2 + 5c2
X3= (a¡bı+azbz+a;c:)y3 + 5c3
c) Expand the (Navier-Stokes for a constant density fluid) equation below into
its component form for i = 1.
du/ôt + uk ôu/ôxk = -(1/p)ôp/ôxi – gồi3 + (µ/p)ô²u;/(ôxmôxm)
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Mass= m = 0.15 kg
Speed of light = c = 300,000,000 m/s = 3 x 108 m/s
2. Plan and Solve
What unknown are you trying to calculate?
The amount of energy produced = E = ?
What formula contains the given quantities and the unknown?
E = mc2
Replace each variable with its known variable and known value.
E = (0.15 kg)(3.00 x 108 m/s)2
E = 1.35 x 10¹6 kg.m²/s2 = 1.4 x 1016 J
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a separate
In a nuclear reactor, 1.5 kilograms of plutonium-239 is completely
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▼
Y
Part A
How much time does it take light to travel from the moon to the earth, a distance of 384000 km?
Express your answer in seconds.
VE ΑΣΦ
t=
Submit
Part B
Request Answer
d=
DANCE
?
S
Light from the star Procyon takes 11.4 years to reach the earth What is the distance to Procyon in kilometers?
Express your answer in kilometers.
17 ΑΣΦ
PO ?
h
km
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B. 420 billion light years
C. 42 billion light years
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Problem 16.08
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hding Light Years
26.1
How far is it from Los Angeles to New York? Pretty far, but it can still be measured in miles or
kilometers. How far is it from Earth to the Sun? It's about one hundred forty-nine million, six hundred thousand
kilometers (149,600,000, or 1.496 x 10 km). Because this number is so large, and many other distances in space
are even larger, scientists developed bigger units in order to measure them. An Astronomical Unit (AU) is
4:496x 108 km (the distance from Earth to the sun). This unit is usually used to measure distances within our
solar system. To measure longer distances (like the distance between Earth and stars and other galaxies), the light
year (ly) is used. A light year is the distance that light travels through space in one year, or 9.468 x 1012 km.
28.1
n the
in
tem.
EXAMPLES
1. Converting light years (ly) to kilometers (km)
Earth's closest star (Proxima Centauri) is about 4.22 light years away. How far is this in kilometers?
Explanation/Answer: Multiply…
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1. Please help me answer A and B. Well explained please. (Not written on a paper please)
A. Sets out the two postulates of Albert Einstein's theory of special relativity.
B. What is simultaneity? Use a concrete example in your explanation.
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SCIENCE -40
Task 2 Solve the following problems. Show
your solution!
What is the wavelength of a radio wave of a frequency lo0 MHz?
2) What is the frequency of microwaves with a wavelength of 3 cm?
3) A radio station has a frequency ot 102 megahertz. What is the
stations wavelength ?
4 An infrared beam has a wavelength ot tmm. What is its frequency?
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Which of these expressions is used to obtain an eigenvalue of a dynamical variable or an observable ?
ys* Ays dt
Swaz
fyr* w dz
O Ays = ays
Sy*
O
y*y dt = 1
○ [w* Ây dt = f wà * y* de
O ys* Ays
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