Force of Gravity
What happens to the force of gravity between two objects when one mass is tripled?
The force is tripled
What is the orbital velocity of the moon if its orbital radius is 3.85E8 m and the Earth has a mass of 6E24 kg?
~1020 m/s
Draw an elliptical orbit and draw the sun in an accurate location based on Kepler's 1st law.
.
Saturn has an orbital radius of 9.5 AU and a period of 30 years. If the period of Venus is 0.6 years, what is its orbital radius?
0.7 AU
What happens to the force of gravity between two objects when the distance between them is halved?
The force is 4x bigger
Which has a larger orbital velocity around the sun? Mercury (1st planet from sun) or Earth?
Mercury
When, in an object's orbit around the sun, is it moving the fastest?
When it is closest to the sun.
A moon of a far away planet is observed to have a period of 55 days and orbital radius of 5000 km. What is the period of a second moon if it has an orbital radius of 6000 km?
~72 days
What happens to the force of gravity between two objects when EACH mass is 4x bigger and the distance between them is 4x bigger?
The force of gravity does not change.
A satellite is in orbit around the Earth and has an orbital velocity of v. How does the orbital velocity change if the Earth became 4x more massive?
2x the orbital velocity
Kepler's 2nd law was originally phrased as this.
A planet will sweep out equal areas in equal times.
How would the period of a satellite change if its orbital radius became 8x larger?
~23x longer period
The force of gravity between two masses is measured to be 1000 N. What is the new force of gravity if one mass is doubled, the other is 3x smaller, and the distance is halved?
2667 N
A satellite is in orbit around the Earth and has an orbital velocity v. How would the orbital velocity change if the satellite became half as massive?
No change, orbital velocity does not depend on the mass of the object in orbit.
For Jupiter, what is the value of the ratio (in units years^2/AU^3)
T^2/r^3
1 year^2/au^3
A planet of a distant solar system is observed to have a period of 4.08E8 s and orbital radius of 1.5E11 m. What is the mass of the sun it orbits around?
1.2E28 kg