# Math

posted by .

Can You help me with this question?

The distance from the earth to the sun is about 1.5 X 10^8 km, while the distance from the earth to the moon is about 3.8 X 10^5 km. If a scale model of the solar system is constructed so that the distance from the Earth to the Sun is 100 meters, what will be the distance from the Earth to the Moon? Express your answer in meters.

• Math -

1.5*10^8/3.8*10^5 = 100/x

394 = 100/x
x = .253m

• Math -

How did you get .253m? Wouldn't you multiply by 100?

• Math -

if 394 = 100/x, x = 100/394

• Math -

besides, if the sun is 100m away, would you not expect the moon to be a lot closer?

• Math -

an interesting variation of this, in which I have had students actually do this outside, is to determine the scale distance from Earth to Pluto. As I recall, and you can work it out, it is about 4000 meters, about 2.5 miles.

• Math -

There is a model of the solar system in Peoria, IL and nearby towns. Discover magazine did a nice article on it a while back.

discovermagazine.com/1995/mar/theplanetsofpeor482

If you're ever visiting there, give it a look.

• Math -

Thank you! That helped.

## Similar Questions

1. ### physics

The Sun and Earth each exert a gravitational force on the Moon. What is the ratio FSun/FEarth of these two forces?

Calculate the magnitudes of the gravitational forces exerted on the Moon by the Sun and by the Earth when the two forces are in direct competition, that is, when the Sun, Moon and Earth are aligned with the Moon between the Sun and …

Calculate the magnitudes of the gravitational forces exerted on the Moon by the Sun and by the Earth when the two forces are in direct competition, that is, when the Sun, Moon and Earth are aligned with the Moon between the Sun and …
4. ### Physics

Calculate the magnitudes of the gravitational forces exerted on the Moon by the Sun and by the Earth when the two forces are in direct competition, that is, when the Sun, Moon and Earth are aligned with the Moon between the Sun and …
5. ### physics

Calculate the magnitudes of the gravitational forces exerted on the Moon by the Sun and by the Earth when the two forces are in direct competition, that is, when the Sun, Moon, and Earth are aligned with the Moon between the Sun and …
6. ### Physics help quick!

22. What does it mean for a force to act in accordance with an inverse square law?
7. ### Physics

A spaceship is on a straight-line path between the Earth and the Moon. At what distance from Earth is the net gravitational pull on the probe from the Earth and the moon zero?
8. ### Physics

Just reposting. A spaceship is on a straight-line path between the Earth and the Moon. At what distance from Earth is the net gravitational pull on the probe from the Earth and the moon zero?
9. ### Physics [Help, need answer in 10 min]

During a solar eclipse, the moon (of mass 7.36 × 1022 kg), Earth (of mass 5.98 × 1024 kg), and Sun (of mass 1.99 × 1030 kg) lie on the same line, with the moon between Earth and the Sun. What gravitational force is exerted on the …
10. ### Physics

Many astronomers argue that the Earth and Moon should be considered a double planet,since the gravitational force by the sun on the Moon is approximately as big as that by the Earth on the moon.Using the data below for the Earth and …

More Similar Questions