# Test Prep for AP® Courses

### 6.5 Newton's Universal Law of Gravitation

Jupiter has a mass approximately 300 times greater than Earth's and a radius about 11 times greater. How will the gravitational acceleration at the surface of Jupiter compare to that at the surface of Earth?

- greater
- less
- about the same
- not enough information

Given Newton's universal law of gravitation (Figure 6.21), under what circumstances is the force due to gravity maximized?

In the formula
$g=\frac{GM}{{r}^{2}}$, what does *G* represent?

- acceleration due to gravity
- a gravitational constant that is the same everywhere in the universe
- a gravitational constant that is inversely proportional to the radius
- the factor by which you multiply the inertial mass to obtain the gravitational mass

Saturn's moon Titan has a radius of 2.58 × 10^{6} m and a measured gravitational field of 1.35 m/s^{2}. What is its mass?

A recently discovered planet has a mass twice as great as Earth's and a radius twice as large as Earth's. What will be the approximate size of its gravitational field?

- 19 m/s
^{2} - 4.9 m/s
^{2} - 2.5 m/s
^{2} - 9.8 m/s
^{2}

4. Earth is 1.5 × 10^{11} m from the Sun. Mercury is 5.7 × 10^{10} m from the Sun. How does the gravitational field of the Sun on Mercury (*g _{SM}*) compare to the gravitational field of the Sun on Earth (

*g*)?

_{SE}