Lesson: Gravitational Forces near Planetary Bodies
In this lesson, we will learn how to calculate the acceleration due to gravity for planetary bodies near the surface of such planetary bodies.
Sample Question Videos
Worksheet: 14 Questions • 2 Videos
The value of , the acceleration due to gravity at Earth’s surface, depends on its mass and radius. Use a value of km for the radius of Earth. Taking a value of kg for Earth’s mass, is 9.82 m/s2.
Find if Earth’s mass is halved and its radius is doubled.
Find if Earth’s density is unchanged and its radius is doubled.
Find if Earth’s density is unchanged and its mass is halved.
Jupiter has a radius at its equator of 71 492 km, and the gravitational acceleration at that point is 23.1 m/s2.
Calculate Jupiter’s mass from its radius and the gravitational acceleration at its equator.
What is the ratio of the calculated mass of Jupiter to NASA’s Jupiter fact sheet value of kg?
Io is a moon of Jupiter. Find the difference between the magnitudes of the forces on an object of mass 9.00 kg on the near and far sides of Io due to the gravitational force from Jupiter. Use a value of kg for the mass of Jupiter, a value of km for the mean radius of Io, and a value of km for the mean orbital radius of Io.