Vector Addition of Gravitational Forces Quiz
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Questions and Answers

In a bound system with a closed orbit, the total energy of the system is:

  • Indeterminate
  • Positive
  • Zero
  • Negative (correct)

The escape speed from the surface of the Earth can be calculated using which formula?

  • $V = G M_E R_E^2$
  • $V = G \frac{M_E}{R_E^2}$
  • $V = 2G M_E R_E$
  • $V = 2G \frac{M_E}{R_E}$ (correct)

What happens to the gravitational force on a particle if it is inside a uniform spherical shell?

  • It increases
  • It decreases with distance from the center
  • It becomes zero (correct)
  • It remains constant

Which of the following quantities are conserved in an object's motion under gravitational influence according to the text?

<p>Angular momentum (C)</p> Signup and view all the answers

What law does angular momentum conservation lead to, as mentioned in the text?

<p>Kepler's Second Law (C)</p> Signup and view all the answers

What is the total energy of a system for an elliptical orbit?

<p>$E = GMm^2 / 2a$ (A)</p> Signup and view all the answers

For a geostationary satellite, how far is it approximately located from the Earth's center?

<p>$4.22 × 10^4$ km (B)</p> Signup and view all the answers

If a particle is outside a uniform spherical shell, how does the sphere attract the particle?

<p>As though the mass were concentrated at the center of the sphere (D)</p> Signup and view all the answers

What is the gravitational force on a particle inside a homogeneous solid sphere directed towards?

<p>The center of the sphere (B)</p> Signup and view all the answers

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