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Gravitational Forces and Potentials Quiz

15 Questions

1 Views

Gravitational Forces and Potentials Quiz

Created by

@PlushOrange4392

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the effect of height on the acceleration due to gravity according to the formula $g' = g (1- \frac{2h}{R})$?

It decreases as height increases. (correct)

It remains constant regardless of height.

It increases linearly with height.

It becomes negative as height increases significantly.

Which statement correctly describes the gravitational force?

Gravitational force acts along the shortest distance between two bodies.

Gravitational force can be repulsive under certain conditions.

Gravitational force depends on the medium surrounding the bodies.

Gravitational force is always attractive. (correct)

In a spherically symmetric mass distribution, how is the gravitational force perceived?

It is the same as if all mass were concentrated at the center. (correct)

It varies significantly with distance from the center.

It acts only at the surface of the sphere.

It is effectively zero inside the sphere.

Which equation correctly represents the gravitational field intensity due to a mass M at a distance r?

$E = \frac{F}{m} = \frac{GM}{r^2}$ Signup and view all the answers

What happens to the value of g when going deeper into the Earth, according to $g' = g(1-\frac{d}{R})$?

g decreases as depth increases. Signup and view all the answers

What is the gravitational field at an internal point within a uniform spherical shell?

It is zero. Signup and view all the answers

What is the potential at the center of a uniform solid sphere?

-GM Signup and view all the answers

Which formula correctly represents the gravitational potential due to a point mass?

V = -rac{GM}{r} Signup and view all the answers

Which equation represents the potential at an internal point of a uniform solid sphere?

V = -(GM(r^2 / (2R^2))) Signup and view all the answers

According to Newton's Law of Universal Gravitation, how is the gravitational force affected by the distance between two masses?

It is inversely proportional to the square of the distance between the masses. Signup and view all the answers

How does the potential graph behave for a uniform solid sphere at external points?

It is a hyperbola. Signup and view all the answers

What is the relationship between gravitational field and potential?

The gravitational field is the negative gradient of the gravitational potential. Signup and view all the answers

What is the relationship between potential and electric field indicated by the equation dV = -E dr?

Electric field is the negative gradient of potential. Signup and view all the answers

What is the value of gravitational potential at an infinite distance from a point mass?

Zero. Signup and view all the answers

At what point does the potential yield zero in a uniform solid sphere?

At the center (r = 0) Signup and view all the answers

Gravitational Forces and Potentials Quiz

Podcast

Questions and Answers

What is the effect of height on the acceleration due to gravity according to the formula $g' = g (1- \frac{2h}{R})$?

Which statement correctly describes the gravitational force?

In a spherically symmetric mass distribution, how is the gravitational force perceived?

Which equation correctly represents the gravitational field intensity due to a mass M at a distance r?

What happens to the value of g when going deeper into the Earth, according to $g' = g(1-\frac{d}{R})$?

What is the gravitational field at an internal point within a uniform spherical shell?

What is the potential at the center of a uniform solid sphere?

Which formula correctly represents the gravitational potential due to a point mass?

Which equation represents the potential at an internal point of a uniform solid sphere?

According to Newton's Law of Universal Gravitation, how is the gravitational force affected by the distance between two masses?

How does the potential graph behave for a uniform solid sphere at external points?

What is the relationship between gravitational field and potential?

What is the relationship between potential and electric field indicated by the equation dV = -E dr?

What is the value of gravitational potential at an infinite distance from a point mass?

At what point does the potential yield zero in a uniform solid sphere?

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