Gravitational Forces and Potentials Quiz
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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?

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

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

    <p>g decreases as depth increases.</p> Signup and view all the answers

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

    <p>It is zero.</p> Signup and view all the answers

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

    <p>-GM</p> Signup and view all the answers

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

    <p>V = - rac{GM}{r}</p> Signup and view all the answers

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

    <p>V = -(GM(r^2 / (2R^2)))</p> 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?

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

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

    <p>It is a hyperbola.</p> Signup and view all the answers

    What is the relationship between gravitational field and potential?

    <p>The gravitational field is the negative gradient of the gravitational potential.</p> Signup and view all the answers

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

    <p>Electric field is the negative gradient of potential.</p> Signup and view all the answers

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

    <p>Zero.</p> Signup and view all the answers

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

    <p>At the center (r = 0)</p> Signup and view all the answers

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