Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 3, Problem 7QAP
To determine
The result that can be determined using relation between gravity and orbit.
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Gravitational Forces (A)
Gravitational, Electrical, Magnetic, and Nuclear Forces
Math Connections
Gm
The surface gravity, g, on a planet can be calculated using the formula:
g =
, where
• G = Gravity = 6.673×10-11 N • m²
kg
• m = mass in kg
• r= radius in m
Characteristics of the Planets
Planet
Mass (kg)
Radius (m)
Surface Gravity (m/s?)
Mercury
3.30 х 1023
2,440,000
3.70
Venus
4.87 x 1024
6,051,000
Earth
5.97 х 1024
9.79
Mars
6.42 x 1023
3,397,000
Jupiter
1.90 x 1027
71,492,000
Saturn
5.69 x 1026
10.45
Uranus
8.66 x 1025
25,559,000
8.84
Neptune
1.03 х 1026
24,764,000
Use the table above to answer the following questions. Insert your answers into the spaces in the
table.
9. Calculate the surface gravity on the following planets:
(6.673x10-")(4.87×10²4)_
a) Venus
g=
6,051, 000
(6.673×10"")(1.90 ×10")
71, 492, 000
b) Jupiter
g=
%3D
c) Neptune
(6.673×10-")(1.03×10%)
g=
24, 764, 000
(6.673×10 ")(6.42 ×10")
g=
d) Mars
3, 397,000
Gm
10. Calculate the radius of each of the following planets…
Astronomical observations of our milky way galaxy indicate that it has a mass of about 8x1011 solar masses. A star orbiting near the galaxy's periphery is 5.6x104 light years from its center.
a.) What should be the orbital period (in years) of that star be?
b.) If its period is 6.4x107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the center of some galaxies.
what are the factors that define a local gravitational acceleration?
Chapter 3 Solutions
Understanding Our Universe
Ch. 3.1 - Prob. 3.1CYUCh. 3.2 - Prob. 3.2CYUCh. 3.3 - Prob. 3.3CYUCh. 3.4 - Prob. 3.4CYUCh. 3.5 - Prob. 3.5CYUCh. 3 - Prob. 1QAPCh. 3 - Prob. 2QAPCh. 3 - Prob. 3QAPCh. 3 - Prob. 4QAPCh. 3 - Prob. 5QAP
Ch. 3 - Prob. 6QAPCh. 3 - Prob. 7QAPCh. 3 - Prob. 8QAPCh. 3 - Prob. 9QAPCh. 3 - Prob. 10QAPCh. 3 - Prob. 11QAPCh. 3 - Prob. 12QAPCh. 3 - Prob. 13QAPCh. 3 - Prob. 14QAPCh. 3 - Prob. 15QAPCh. 3 - Prob. 16QAPCh. 3 - Prob. 17QAPCh. 3 - Prob. 18QAPCh. 3 - Prob. 19QAPCh. 3 - Prob. 20QAPCh. 3 - Prob. 21QAPCh. 3 - Prob. 22QAPCh. 3 - Prob. 23QAPCh. 3 - Prob. 24QAPCh. 3 - Prob. 25QAPCh. 3 - Prob. 26QAPCh. 3 - Prob. 27QAPCh. 3 - Prob. 28QAPCh. 3 - Prob. 29QAPCh. 3 - Prob. 30QAPCh. 3 - Prob. 31QAPCh. 3 - Prob. 32QAPCh. 3 - Prob. 33QAPCh. 3 - Prob. 34QAPCh. 3 - Prob. 35QAPCh. 3 - Prob. 36QAPCh. 3 - Prob. 37QAPCh. 3 - Prob. 38QAPCh. 3 - Prob. 39QAPCh. 3 - Prob. 40QAPCh. 3 - Prob. 41QAPCh. 3 - Prob. 42QAPCh. 3 - Prob. 43QAPCh. 3 - Prob. 44QAPCh. 3 - Prob. 45QAP
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