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PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 151

How much less do you weigh at the earth's equator than if you were standing at the north or south pole?

Assume a spherical earth with radius R = 6400 km, and one rotation per day.

Enter your answer as a decimal, a fraction of your weight at the north pole, to 3 places after the decimal.

For example, if your weight would be 150 lbs at the pole but 135 lbs at the equator, your answer would be 135/150 = 0.900

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 152

ANNOUNCEMENTS

ITEM DURATION START

Introductory Concept Survey (Individual) 0:10 0:00

Calculating Gravity Force and Circular Orbit Speed 0:30 0:10

Geostationary Orbit Radius 0:20 0:40

Fun Facts about Orbits 0:20 1:00

Orbital Trajectories 0:20 1:20

Survey Re-vote (Group Discussion Mode) 0:10 1:40

Dismissal 1:50

AGENDA

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 153

1 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The magnitude of the gravity force acting upon B is

1. Four times that acting upon A.2. Twice that acting upon A.3. Equal to that acting upon A.4. Half that acting upon A.5. One-quarter that acting upon A.

Earth

A B

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 154

2 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The speed of B is

1. Twice that of A.2. Less than twice that of A, but greater than that of A.3. Equal to that of A.4. Less than that of A, but more than half that of A.5. Half that of A.

Earth

A B

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 155

3 of 3Consider an astronaut aboard the International Space Station. The astronaut weighs:

1. The same as on Earth.2. Somewhat greater than on Earth.3. Somewhat less than on Earth (but greater than zero Newtons).4. Zero Newtons.

Name: Anousheh AnsariNationality: IranianBorn: 1966Mission: Soyuz TMA-9/ISS, 20 Sep 2006Notes: 1st Iranian in space

4th self-funded space participantB.S. Engineering, George Mason U.M.S. Engineering, George Wash. U.Created, sold telecom company for $550 million US.

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 156

ANNOUNCEMENTS

• Track ISS at http://spaceflight.nasa.gov/realdata/tracking/• Track satellites at http://science.nasa.gov/realtime/jtrack/3d/JTrack3D.html/

ITEM DURATION START

Introductory Concept Survey (Individual) 0:10 0:00

Calculating Gravity Force and Circular Orbit Speed 0:30 0:10

Geostationary Orbit Radius 0:20 0:40

Fun Facts about Orbits 0:20 1:00

Orbital Trajectories 0:20 1:20

Survey Re-vote (Group Discussion Mode) 0:10 1:40

Dismissal 1:50

AGENDA

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15

2R

MmGFg

M

m

2211 /1067.6 kgmNG

R

R is the distance between centers of gravity

7

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15

2R

MmGFg

Fg Newton’s Universal Law of Gravity obeys Newton’s Third Law of Motion

8

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15

2R

MmGFg

Fg

Newton’s Universal Law of Gravity obeys Newton’s Third Law of Motion

2

2

then

If

R

MGg

mgR

MmGFg

9

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 15

gRv

R

GMv

R

vm

R

MmG

R

vmFc

or

2

2

2Fg

path of motion

Circular Orbit Equation

v

10

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1511

II7 Exit Homework Problem #1

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1512

II7 Exit Homework Problem #2

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1513

1 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The magnitude of the gravity force acting upon B is

1. Four times that acting upon A.2. Twice that acting upon A.3. Equal to that acting upon A.4. Half that acting upon A.5. One-quarter that acting upon A.

Earth

A B

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1514

2 of 3Satellite A moves in a circular orbit of radius R. Satellite B moves in a circular orbit of radius 2R. The speed of B is

1. Twice that of A.2. Less than twice that of A, but greater than that of A.3. Equal to that of A.4. Less than that of A, but more than half that of A.5. Half that of A.

Earth

A B

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1515

3 of 3Consider an astronaut aboard the International Space Station. The astronaut weighs:

1. The same as on Earth.2. Somewhat greater than on Earth.3. Somewhat less than on Earth (but greater than zero Newtons).4. Zero Newtons.

Name: Anousheh AnsariNationality: IranianBorn: 1966Mission: Soyuz TMA-9/ISS, 20 Sep 2006Notes: 1st Iranian in space

4th self-funded space participantB.S. Engineering, George Mason U.M.S. Engineering, George Wash. U.Created, sold telecom company for $550 million US.

PHYS-1600/2000 II7 Gravity and Orbital Motion NEBRASKA WESLEYAN UNIVERSITYFALL 2014-2015

DEAN SIEGLAFF NATHANIEL CUNNINGHAM of 1516

1 4 1 4 1 4 1 4

2 5 2 5 2 5 2 5

3 3 3 3

PROJECTION SCREEN

II7: HAND IN TODAY’S ACTIVITIES SHEETS

6 6 6 6

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