Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 5P
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The magnitude of acceleration on the liners.
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A hypothetical planet has a mass of one-half that of the earth and a radius of twice that of the earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the surface of the earth?
Group of answer choices
g
g/8
g/16
g/2
g/4
(a) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 x 1024 kg and its moon, with mass 2.50 × 1022 kg, if the average distance
between their centers is 2.70 x 108 m.
N
(b) What is the moon's acceleration (in m/s²) toward the planet? (Enter the magnitude.)
m/s²
(c) What is the planet's acceleration (in m/s²) toward the moon? (Enter the magnitude.)
m/s²
Newton's Law of Gravitation states that two bodies with masses M and N attract each other with a force
MN
F = G-
p2
where r is the distance between the bodies and G is the gravitational constant.
Assume that Earth's mass is 5.98 × 104 kg and is concentrated at its center. Moreover, take the radius of the Earth to be
6.37 x 10° m and G = 6.67 x 10-1" N · m²/kg². With this information, find the work required to propel a 1000-kg satellite
out of Earth's gravitational field.
Work =
Chapter 13 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 13.1 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13.2 - Prob. 13.2QQCh. 13.4 - Prob. 13.3QQCh. 13.6 - Prob. 13.4QQCh. 13 - Prob. 1OQCh. 13 - Prob. 2OQCh. 13 - Prob. 3OQCh. 13 - Prob. 4OQCh. 13 - Prob. 5OQCh. 13 - Prob. 6OQ
Ch. 13 - Prob. 7OQCh. 13 - Prob. 8OQCh. 13 - Prob. 9OQCh. 13 - Prob. 10OQCh. 13 - Prob. 11OQCh. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 1PCh. 13 - Determine the order of magnitude of the...Ch. 13 - Prob. 3PCh. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...Ch. 13 - Prob. 15PCh. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - A particle of mass m moves along a straight line...Ch. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Use Keplers third law to determine how many days...Ch. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - Prob. 33PCh. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 36PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50APCh. 13 - Prob. 51APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - Prob. 53APCh. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - A sleeping area for a long space voyage consists...Ch. 13 - Prob. 57APCh. 13 - Prob. 58APCh. 13 - Prob. 59APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - Prob. 61APCh. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - Prob. 63APCh. 13 - Prob. 64APCh. 13 - Prob. 65APCh. 13 - A certain quaternary star system consists of three...Ch. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 69APCh. 13 - Prob. 70APCh. 13 - Prob. 71APCh. 13 - Prob. 72APCh. 13 - Prob. 73APCh. 13 - Two stars of masses M and m, separated by a...Ch. 13 - Prob. 75APCh. 13 - Prob. 76APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...Ch. 13 - Prob. 79CPCh. 13 - Prob. 80CP
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- In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?arrow_forwardThe mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35 1022 kg. The Moon and the Earth are separated by about 3.84 108 m. a. What is the magnitude of the gravitational force that the Moon exerts on the Earth? b. If Serena is on the Moon and her mass is 25 kg, what is the magnitude of the gravitational force on Serena due to the Moon? The radius of the Moon is approximately 1.74 106 m.arrow_forward(a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its moon, with mass 2.70 1022 kg, if the average distance between their centers is 2.80 108 m. (b) What is the acceleration of the moon towards the planet? (c) What is the acceleration of the planet towards the moon?arrow_forward
- Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardA hypothetical planet has a mass of one-half that of the earth and a radius of twice that of the earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity at the surface of the earth?arrow_forwardTwo spherical objects have masses of 8000 kg and 1500 kg. Their centers are separated by a distance of 1.5 m. Find the gravitational attraction between them. А) 5.4X 10-4 N B 1.2 X 107 N 5.33 N D 3.6 X 10-4 Narrow_forward
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