Newton's Gravitation
The variable G represents this in Newton’s law of gravitation
What is the universal gravitational constant?
For a circular orbit, gravitational force will equal this type of force
What is centripetal force?
The equation for gravitational potential energy between two masses
What is Ug=−GMm/r?
What is escape velocity?
What is the minimum speed needed to escape a gravitational field without additional propulsion?
When using AU’s and earth years as units for a and T respectively, the value of k=_____
What is 1?
If radial distance between two masses doubles, the gravitational force changes by a factor of what?
What is 1/4?
what is vorb= rad (Gmplanet/r)?
How is the equation for gravitational potential energy derived?
What is change in potential energy=-Work=-integral of force with respect to position?
What is the equation for escape velocity?
What is rad(2GMplanet/r)?
What is the relationship between an object's orbital period (T) and average distance (a)?
What is the square of (T) is directly proportional to the cube of its average distance (a) from the central body it is orbiting?
Why does the gravitational force that Earth exerts on the Moon have the same magnitude as the force the Moon exerts on Earth?
What is Newton’s Third Law?
How is the equation for orbital velocity derived?
What is setting centripetal force equal to gravitational force and isolating velocity?
A satellite moves from radius R to radius 2R. How does its gravitational potential energy change?
What is it changes by a factor of 1/2?
Compared to orbital velocity at the same radius, escape velocity is larger by what factor?
What is square root of 2?
What is the term for a high-altitude Earth orbit where the satellite’s orbital period matches Earth's rotational period exactly?
What is Geosynchronous orbit?
A planet has twice Earth’s mass and three times Earth’s radius. Compared to Earth, what is the value of gravitational acceleration at its surface?
What is (2/9)g?
A satellite orbiting earth at a further distance will generally move faster or slower?
What is slower?
As two objects move farther apart, gravitational potential energy becomes more/less negative?
What is less negative (closer to 0)?
A planet has 4 times Earth’s mass and 2 times Earth’s radius. Compared to Earth, what is its escape velocity?
What is square root of 2 times Earth’s escape velocity?
If orbital period is 4 years, aphelion=3 AU’s, find perihelion.
What is 2(cube root of 16) minus 3 AU’s?
Inside a uniform spherical planet, why does gravitational force decrease as you move toward the center?
What is because only the mass beneath your radius contributes to the net gravitational force?
If a satellite in circular orbit suddenly slows down, this will happen to its orbit?
What is it will move into an elliptical orbit closer to Earth?
Why is gravitational potential energy negative?
What is the maximum value is 0, so all values become negative?
Why does escape velocity from a planet not depend on the mass of the escaping object?
What is because the object’s mass cancels when conserving mechanical energy?
In the equation, t2=ka3, What does k=?
What is 4pi2/ Gm?