21st Century Astronomy
6th Edition
ISBN: 9780393428063
Author: Kay
Publisher: NORTON
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Chapter 4, Problem 38QP
To determine
The gravitational force acting on a Launchpad.
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The International Space Station, with a mass of 12326kg, orbits at an average height of 31278m above the Earth's surface. If the radius of the Earth is 6,400,000m, what is the force of gravitational attraction between the Earth of the satellite?
Many people mistakenly believe that the astronauts who orbit earth are "above gravity." earth's mass is 6*10^24 kg, and its radius is 6.38*10^6 m (6380 km). use the inverse-square law to find a height above earth's surface at that the force gravity on a shuffle is about 99% that at earth's surface.
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…
Chapter 4 Solutions
21st Century Astronomy
Ch. 4.1 - Prob. 4.1ACYUCh. 4.1 - Prob. 4.1BCYUCh. 4.2 - Prob. 4.2CYUCh. 4.3 - Prob. 4.3CYUCh. 4.4 - Prob. 4.4CYUCh. 4 - Prob. 1QPCh. 4 - Prob. 2QPCh. 4 - Prob. 3QPCh. 4 - Prob. 4QPCh. 4 - Prob. 5QP
Ch. 4 - Prob. 6QPCh. 4 - Prob. 7QPCh. 4 - Prob. 8QPCh. 4 - Prob. 9QPCh. 4 - Prob. 10QPCh. 4 - Prob. 11QPCh. 4 - Prob. 12QPCh. 4 - Prob. 13QPCh. 4 - Prob. 14QPCh. 4 - Prob. 15QPCh. 4 - Prob. 16QPCh. 4 - Prob. 17QPCh. 4 - Prob. 18QPCh. 4 - Prob. 19QPCh. 4 - Prob. 20QPCh. 4 - Prob. 21QPCh. 4 - Prob. 22QPCh. 4 - Prob. 23QPCh. 4 - Prob. 24QPCh. 4 - Prob. 25QPCh. 4 - Prob. 26QPCh. 4 - Prob. 27QPCh. 4 - Prob. 28QPCh. 4 - Prob. 29QPCh. 4 - Prob. 30QPCh. 4 - Prob. 31QPCh. 4 - Prob. 32QPCh. 4 - Prob. 33QPCh. 4 - Prob. 34QPCh. 4 - Prob. 35QPCh. 4 - Prob. 36QPCh. 4 - Prob. 37QPCh. 4 - Prob. 38QPCh. 4 - Prob. 39QPCh. 4 - Prob. 40QPCh. 4 - Prob. 41QPCh. 4 - Prob. 42QPCh. 4 - Prob. 43QPCh. 4 - Prob. 44QPCh. 4 - Prob. 45QP
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