1. Universal Gravitation Problems Universal Gravitation Problems

2. Newton's Universal Law of Gravitation
Every object with mass attracts every other object with mass with a gravitational force.
This gravitational force is directly proportional to product of the masses of BOTH objects.
This gravitational force is inversely proportional to the square of the distance
between the centers of the two objects.

3. Find the gravitational force between the Jupiter and its natural satellite Callisto. The mass of the Jupiter is 1.99 X 1027-kg and the mass of Callisto is 1.08 X 1023-kg. The distance between the Jupiter and Callisto is 1.88 X 109-m.

4. The gravitational force between these two objects is 100-N.
What will happen to the gravitational force if the red object’s mass doubles?
Since only the mass of only one object changes, it is all that affects the change in the gravitational force.
So doubling the mass also doubles the gravitational force:

5. So doubling both masses quadruples the gravitational force:
The gravitational force between these two objects is 100-N.
What will happen to the gravitational force if the BOTH objects’ mass
doubles?
Since both masses change, it is the product of the masses that affects the change in the gravitational force.
So doubling both masses quadruples the gravitational force:

6. So doubling the distance gets you one fourth the gravitational force:
The gravitational force between these two objects is 100-N.
What will happen to the gravitational force if the distance between
the objects doubles?
Since only the distance changes, it is all that affects the change in the gravitational force.
So doubling the distance gets you one fourth the gravitational force:

7. So halving the distance gets you four times the gravitational force:
The gravitational force between these two objects is 100-N.
What will happen to the gravitational force if the distance between
them is cut in half?
Since only the distance changes, it is all that affects the change in the gravitational force.
So halving the distance gets you four times the gravitational force:

8. The gravitational force between two objects is 75-N
The gravitational force between two objects is 75-N. If the mass of one object doubles, the mass of the other object triples and the distance between them is doubled, find the new gravitational force between these two objects.
SO……