Worksheet
Universal Gravitation and Satellites
Printer Friendly Version
Some formulas you might like to reference as your complete this worksheet:
Refer to the following information for the next four questions.
On average, the distance from the earth to the sun (from center to center) is 150 x 10
^{9}
meters and it takes the earth 365 days to make one complete revolution.
What is the earth's average tangential velocity as it circles the sun?
What is the strength of the sun's gravitational field at the earth's orbital radius?
What is the mass of the sun?
What is the magnitude of the gravitational force of attraction between the earth and the sun? That is, how much does the earth "weigh" in the sun's gravitational field?
Refer to the following information for the next two questions.
An imaginary planet has a mass twice as great as the earth's, but the same radius.
What is the acceleration due to gravity on the surface of the planet?
At what height above the surface of the planet would the planet's acceleration due to gravity equal that on the earth's surface?
Refer to the following information for the next six questions.
A GPS satellite is in orbit about the earth at a height of 20,000 km above the earth's surface.
What is the strength of the earth's gravitational field at this altitude?
If the satellite has a mass of 1350 kg, how much would it "weigh" while it is in orbit?
What is the magnitude of the centripetal acceleration experienced by the satellite?
What is the satellite's tangential velocity?
How many seconds does it take the satellite to make one revolution around the earth?
How would the height of a satellite that has been placed in geosynchronous orbit about the earth's equator compare to the height of this GPS satellite?
Refer to the following information for the next three questions.
The earth-to-moon distance (from center to center) is 3.84 x 10
^{5}
km.
What is the strength of the earth's gravitational field at the moon's location?
What is the moon's tangential velocity about the earth?
What is the period of the moon in seconds?
Refer to the following information for the next three questions.
During one of the Apollo missions the command module orbited the moon at a height of 100 km above the moon's surface.
What was its orbital period?
To have a period twice as long, at what height should it have gone into orbit?
How would the command module's tangential velocity at 100 km compare to its velocity at this new, higher orbit?
Refer to the following information for the next three questions.
The rings of Saturn are composed of chunks of methane ice orbiting the planet. The innermost ring has a radius of 73,000 km while the outermost ring has a radius of 170,000 km.
If a chunk of ice in the innermost ring takes only 5.58 hours to complete one orbit around Saturn, what is Saturn's mass?
What is the tangential velocity of this piece of ice?
How long does it take a chunk of ice chunk in the outermost ring to complete one orbit?
Related Documents
Lab:
Labs -
A Physical Pendulum, The Parallel Axis Theorem and A Bit of Calculus
Labs -
Conical Pendulums
Labs -
Conical Pendulums
Labs -
Conservation of Energy and Vertical Circles
Labs -
Gravitational Field Strength
Labs -
Introductory Simple Pendulums
Labs -
Kepler's 1st and 2nd Laws
Labs -
Lab: Triangle Measurements
Labs -
Loop-the-Loop
Labs -
Mars' Lab
Labs -
Moment of Inertia of a Bicycle Wheel
Labs -
Oscillating Springs
Labs -
Roller Coaster, Projectile Motion, and Energy
Labs -
Sand Springs
Labs -
Simple Pendulums: Class Data
Labs -
Simple Pendulums: LabPro Data
Labs -
Video LAB: A Gravitron
Labs -
Video LAB: Circular Motion
Labs -
Video LAB: Looping Rollercoaster
Labs -
Water Springs
Resource Lesson:
RL -
A Derivation of the Formulas for Centripetal Acceleration
RL -
Advanced Gravitational Forces
RL -
Advanced Satellites
RL -
Centripetal Acceleration and Angular Motion
RL -
Conservation of Energy and Springs
RL -
Derivation of Bohr's Model for the Hydrogen Spectrum
RL -
Derivation: Period of a Simple Pendulum
RL -
Energy Conservation in Simple Pendulums
RL -
Gravitational Potential Energy
RL -
Kepler's Laws
RL -
LC Circuit
RL -
Magnetic Forces on Particles (Part II)
RL -
Period of a Pendulum
RL -
Rotational Kinematics
RL -
SHM Equations
RL -
Simple Harmonic Motion
RL -
Springs and Blocks
RL -
Symmetries in Physics
RL -
Tension Cases: Four Special Situations
RL -
The Law of Universal Gravitation
RL -
Thin Rods: Moment of Inertia
RL -
Uniform Circular Motion: Centripetal Forces
RL -
Universal Gravitation and Satellites
RL -
Universal Gravitation and Weight
RL -
Vertical Circles and Non-Uniform Circular Motion
Review:
REV -
Review: Circular Motion and Universal Gravitation
Worksheet:
APP -
Big Al
APP -
Ring Around the Collar
APP -
The Satellite
APP -
The Spring Phling
APP -
Timex
CP -
Centripetal Acceleration
CP -
Centripetal Force
CP -
Gravitational Interactions
CP -
Satellites: Circular and Elliptical
NT -
Circular Orbits
NT -
Pendulum
NT -
Rotating Disk
NT -
Spiral Tube
WS -
Advanced Properties of Freely Falling Bodies #3
WS -
Basic Practice with Springs
WS -
Inertial Mass Lab Review Questions
WS -
Introduction to Springs
WS -
Kepler's Laws: Worksheet #1
WS -
Kepler's Laws: Worksheet #2
WS -
Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
WS -
More Practice with SHM Equations
WS -
Pendulum Lab Review
WS -
Pendulum Lab Review
WS -
Practice: SHM Equations
WS -
Practice: Uniform Circular Motion
WS -
Practice: Vertical Circular Motion
WS -
SHM Properties
WS -
Standard Model: Particles and Forces
WS -
Static Springs: The Basics
WS -
Vertical Circular Motion #1
TB -
Centripetal Acceleration
TB -
Centripetal Force
PhysicsLAB
Copyright © 1997-2015
Catharine H. Colwell
All rights reserved.
Application Programmer
Mark Acton