Please help i forgot how to solve this, thank you.

The radius of its orbit is .

Explanation:

Let suppose that Callisto rotates around Jupiter in a circular path and at constant speed, then we understand that net acceleration of this satellite is equal to the centripetal acceleration due to gravity of Jupiter. That is:

(1)

Where:

- Angular speed, measured in radians per second.

- Radius of the orbit, measured in meters.

- Net acceleration, measured in meters per square second.

In addition, angular speed can be described in terms of period (), measured in seconds:

(2)

And the net acceleration by the Newton's Law of Gravitation:

(3)

Where:

- Gravitation constant, measured in cubic meters per kilogram-square second.

- Mass of Jupiter, measured in kilograms.

Now we apply (2) and (3) in (1) to derive an expression for the radius of the orbit:

(4)

If we know that , and , then the radius of the orbit of Callisto is:

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

t = 1/400 h   ⇔ 0.0025 h ⇔ 9s ⇔ 0.15 m

any of the answers are correct.