Universe: Stars And Galaxies
6th Edition
ISBN: 9781319115098
Author: Roger Freedman, Robert Geller, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 4, Problem 35Q
To determine
The gravitational force that the earth exerts on moon and the moon exerts on earth.
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Directions: Complete the given table by finding the ratio of the planet’s time of the revolution to its radius.
Planet
Average
Radius of
Orbit
Times of
Revolution
R3
T2
T2 /R3
Mercury
5.7869 × 1010
7.605 ×106
Venus
1.081 × 1011
1.941 ×107
Earth
1.496 × 1011
3.156 ×107
What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support?
It is important to have an idea about the distances between and relative sizes of celestial objects in the
solar system. In Part 1 we will pretend to shrink the solar system until its center piece, the Sun, is 67.3 cm
in diameter. This will represent the Sun which is 1,390,000 km in diameter. The scale of our model is thus:
67.3 cm
= 4.84 x 10-5 cm
km
Scale
1, 390, 000 km
To find the size or distance between objects in centimeters for the model, simply multiply the actual size
or distance in kilometers by the scale factor above.
1. Fill in following table:
Quantity
Actual Distance (km) Model Distance (cm)
Diameter of Sun
1,390,000
Diameter of Earth
12,760
Diameter of Moon
3,480
Distance Between Earth and Sun
1.5 x 108
Distance Between Earth and Moon
384,000
Distance to Proxima Centauri
3.97 x 1013
As an aspiring science fiction author, you are writing about a space-faring race and
their home planet, Krypton, which has one moon.
This moon takes 1,702,948 seconds to complete an orbit around Krypton. If the
distance from the center of the moon to the surface of Krypton is 462.5 x 106 m and
the planet has a radius of 37.2 x 106 m, calculate the moon's centripetal acceleration.
Your Answer:
Answer
Chapter 4 Solutions
Universe: Stars And Galaxies
Ch. 4 - Prob. 1QCh. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Prob. 6QCh. 4 - Prob. 7QCh. 4 - Prob. 8QCh. 4 - Prob. 9QCh. 4 - Prob. 10Q
Ch. 4 - Prob. 11QCh. 4 - Prob. 12QCh. 4 - Prob. 13QCh. 4 - Prob. 14QCh. 4 - Prob. 15QCh. 4 - Prob. 16QCh. 4 - Prob. 17QCh. 4 - Prob. 18QCh. 4 - Prob. 19QCh. 4 - Prob. 20QCh. 4 - Prob. 21QCh. 4 - Prob. 22QCh. 4 - Prob. 23QCh. 4 - Prob. 24QCh. 4 - Prob. 25QCh. 4 - Prob. 26QCh. 4 - Prob. 27QCh. 4 - Prob. 28QCh. 4 - Prob. 29QCh. 4 - Prob. 30QCh. 4 - Prob. 31QCh. 4 - Prob. 32QCh. 4 - Prob. 33QCh. 4 - Prob. 34QCh. 4 - Prob. 35QCh. 4 - Prob. 36QCh. 4 - Prob. 37QCh. 4 - Prob. 38QCh. 4 - Prob. 39QCh. 4 - Prob. 40QCh. 4 - Prob. 41QCh. 4 - Prob. 42QCh. 4 - Prob. 43QCh. 4 - Prob. 44QCh. 4 - Prob. 45QCh. 4 - Prob. 46QCh. 4 - Prob. 47QCh. 4 - Prob. 48QCh. 4 - Prob. 49QCh. 4 - Prob. 50QCh. 4 - Prob. 51QCh. 4 - Prob. 52QCh. 4 - Prob. 53QCh. 4 - Prob. 54QCh. 4 - Prob. 55QCh. 4 - Prob. 56QCh. 4 - Prob. 57QCh. 4 - Prob. 58Q
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