Conceptual Physics: The High School Physics Program
9th Edition
ISBN: 9780133647495
Author: Paul G. Hewitt
Publisher: Prentice Hall
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Textbook Question
Chapter 13, Problem 39A
If you stand on a shrinking planet, so that in effect you get closer to its center, your weight will increase. But if you instead burrow into the planet and get closer to its center, your weight will decrease. Explain.
Expert Solution & Answer
To determine
To explain: The weight variation if going towards center, using a hole to the center, or standing still on a shrinking planet.
Explanation of Solution
Introduction: Weight is the measurement of gravitational force applied on an object times the mass of the object.
If a person is standing on a shrinking planet, the center of mass will exert more force on the person as the planet shrinks. Thus, the greater force of gravity will be applied to the person as he reaches towards the center of the planet.
If he borrows a hole into the planet to get closer to the center of the planet, then the upward force exerted by the shell of the planet above him will counterbalance with the downward pull towards the center of the planet. The net force will be zero as he moves towards the center, acceleration due to gravity decreases. Thus, the weight of the person also decreases with the same rate.
Conclusion: Thus, if a person standing on the shrinking planet, then force exerted by center of mass will act upon it, increasing his weight. If going towards the center using a tunnel then downward force and upward force will balance each other and weigh lesser.
Chapter 13 Solutions
Conceptual Physics: The High School Physics Program
Ch. 13 - In Newtons insight, what did a falling apple have...Ch. 13 - In what sense does the moon 'fall'?Ch. 13 - How does the tangential velocity of a planet...Ch. 13 - What is the gravitational force between two...Ch. 13 - Prob. 5ACh. 13 - In what way does the force of gravity between two...Ch. 13 - How does the force of gravity depend on the...Ch. 13 - How does the force of gravity between two bodies...Ch. 13 - How does the intensity of light, radiation, and...Ch. 13 - Do you escape from Earths gravity if you're above...
Ch. 13 - At what distance away from Earth is Earths...Ch. 13 - Prob. 12ACh. 13 - What is the value of Earths gravitational field at...Ch. 13 - If you stepped into a hole that passed completely...Ch. 13 - Would the gauge inside a bathroom scale be more...Ch. 13 - Do tides depend more on the strength of...Ch. 13 - Why are ocean tides higher at the time of a full...Ch. 13 - Prob. 18ACh. 13 - Prob. 19ACh. 13 - What was the cause of perturbations discovered in...Ch. 13 - The planet and its moon gravitationally attract...Ch. 13 - Calculate the force of gravity on a 1-kg mass at...Ch. 13 - Calculate the force of gravity on the same 1-kg...Ch. 13 - Calculate the force of gravity between Earth...Ch. 13 - Calculate the force of gravity between Earth and...Ch. 13 - Calculate the force of gravity between a newborn...Ch. 13 - Calculate the force of gravity between a newborn...Ch. 13 - Comment on whether or not this label on a consumer...Ch. 13 - Gravitational force acts on all objects in...Ch. 13 - Irene says that Earths force of gravity is...Ch. 13 - Stephan says that the force of gravity is stronger...Ch. 13 - Earth and the moon are gravitationally attracted...Ch. 13 - What is the magnitude and direction of the...Ch. 13 - If the gravitational forces of the sun on the...Ch. 13 - The moon 'falls' 1.4 mm each second. Does this...Ch. 13 - If the moon were twice as massive, would the...Ch. 13 - The weight of an apple near the surface of Earth...Ch. 13 - A friend proposes an idea for launching space...Ch. 13 - If you stand on a shrinking planet, so that in...Ch. 13 - If you were unfortunate enough to be in a freely...Ch. 13 - What two forces act on you in a moving elevator?...Ch. 13 - A friend says that astronauts in orbit are...Ch. 13 - The sun exerts almost 200 times more force on the...Ch. 13 - From a point of view at the sun, does the moon...Ch. 13 - What would be the effect on Earths tides if the...Ch. 13 - Whenever the ocean tide is unusually high, will...Ch. 13 - The human body is more than 50% water. Is it...Ch. 13 - A black hole is no more massive than the star from...Ch. 13 - Which requires more fuel—a rocket going from...Ch. 13 - Prob. 50ACh. 13 - The planet Jupiter is about 300 times as massive...Ch. 13 - Some people dismiss the validity of scientific...Ch. 13 - Equate your weight mg to Newtons equation for...Ch. 13 - Isabella drops a chunk of iron of mass m from the...Ch. 13 - The symbol g can mean acceleration due to gravity...Ch. 13 - By what factor would your weight change if the...Ch. 13 - Find the change in the force of gravity between...Ch. 13 - If you stood atop a ladder that was so tall that...Ch. 13 - Suppose you stood atop a ladder that was so tall...Ch. 13 - Prob. 60ACh. 13 - By what factor does the force of gravity between...Ch. 13 - By what factor does the force of gravity between...Ch. 13 - By what factor does the force of gravity between...Ch. 13 - Many people mistakenly believe that the astronauts...
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