Essential Cosmic Perspective
9th Edition
ISBN: 9780135795033
Author: Bennett
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 43EAP
The Gravitational Law.
a. How does quadrupling the distance between two objects affect the gravitational force between them?
b. Suppose the Sun were somehow replaced by a star with twice as much mass. What would happen to the gravitational force between Earth and the Sun?
c. Suppose Earth were moved to one-third of its current distance from the Sun. What would happen to the gravitational force between Earth and the Sun?
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Students have asked these similar questions
The Universal Law of Gravitation
a. How does halving the distance between two objects affect the gravitational force between them?
b. Suppose the Sun was somehow replaced by a star with five times as much mass. What would happen to the gravitational force between the Earth and the Sun?
c. How long would the Earth year last in this last case? (hint: Newton’s version of Kepler’s 3rd Law)
2. Star A is twice as massive as star B.
A
B
a. Which star experiences a larger magnitude of gravitational force from the other star?
Explain.
b. As the stars move towards each other under the influence of the gravitational force,
which experiences an acceleration of greater magnitude? Explain.
6. Consider a planet of mass m in orbit about a star of mass M.
Since M >> m, we can assume the star is at rest.
a) Show that the energy of the planet can be written as
GMm
E =
2mr?
b) Now assume the planet is in a perfectly circular orbit. What is the
energy in this case?
c) Represent the energy obtained in part (b) on an energy diagram.
(Draw and label very carefully.)
Chapter 4 Solutions
Essential Cosmic Perspective
Ch. 4 - Prob. 1VSCCh. 4 - Check your understanding of some of the many types...Ch. 4 - Check your understanding of some of the many types...Ch. 4 - Check your understanding of some of the many types...Ch. 4 - Check your understanding of some of the many types...Ch. 4 - Define speed, velocity, and acceleration. What are...Ch. 4 - Define momentum and force. What do we mean when we...Ch. 4 - What is free-fall, and why does it make you...Ch. 4 - Prob. 4EAPCh. 4 - Prob. 5EAP
Ch. 4 - Define kinetic energy, radiative energy, and...Ch. 4 - Define and distinguish temperature and thermal...Ch. 4 - Prob. 8EAPCh. 4 - Summarize the universal law of gravitation both in...Ch. 4 - What is the difference between a bound and an...Ch. 4 - Under what conditions can we use Newton’s version...Ch. 4 - Explain why orbits cannot change spontaneously,...Ch. 4 - Explain how the Moon creates tides on Earth. Why...Ch. 4 - How do the tides vary with the phase of the Moon?...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - Decide whether the statement makes sense (or is...Ch. 4 - A car is accelerating when it is (a) traveling on...Ch. 4 - Compared to their values on Earth, on another...Ch. 4 - Which person is weightless? (a) a child in the air...Ch. 4 - Consider the statement “There’s no gravity in...Ch. 4 - To make a rocket turn left, you need to (a) fire...Ch. 4 - Compared to its angular momentum when it is...Ch. 4 - Prob. 31EAPCh. 4 - If Earth were twice as far from the Sun, the force...Ch. 4 - According to the law of universal gravitation,...Ch. 4 - If the Moon were closer to Earth, high tides would...Ch. 4 - Prob. 35EAPCh. 4 - Testing Gravity. Scientists are constantly trying...Ch. 4 - How Does the Table Know? Thinking deeply about...Ch. 4 - Perpetual Motion Machines. Every so often, someone...Ch. 4 - Group Activity: Your Ultimate Energy Source. Work...Ch. 4 - Weightlessness. Astronauts are weightless when in...Ch. 4 - Einstein’s Famous Formula. a. What is the meaning...Ch. 4 - The Gravitational Law. a. How does quadrupling the...Ch. 4 - Prob. 44EAPCh. 4 - Head to Foot Tides. You and Earth attract each...Ch. 4 - Space Elevator. Some people have proposed using a...Ch. 4 - Prob. 47EAPCh. 4 - Prob. 48EAPCh. 4 - Prob. 49EAPCh. 4 - Prob. 50EAP
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