9 Questions
In a bound system with a closed orbit, the total energy of the system is:
Negative
The escape speed from the surface of the Earth can be calculated using which formula?
$V = 2G \frac{M_E}{R_E}$
What happens to the gravitational force on a particle if it is inside a uniform spherical shell?
It becomes zero
Which of the following quantities are conserved in an object's motion under gravitational influence according to the text?
Angular momentum
What law does angular momentum conservation lead to, as mentioned in the text?
Kepler's Second Law
What is the total energy of a system for an elliptical orbit?
$E = GMm^2 / 2a$
For a geostationary satellite, how far is it approximately located from the Earth's center?
$4.22 × 10^4$ km
If a particle is outside a uniform spherical shell, how does the sphere attract the particle?
As though the mass were concentrated at the center of the sphere
What is the gravitational force on a particle inside a homogeneous solid sphere directed towards?
The center of the sphere
Test your understanding of vector addition of gravitational forces in this quiz. Practice calculating the resultant gravitational force on an object using principles of superposition and law of vector addition.
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