Question

The distance between the Earth and the Moon is about 380,000 km. The radius of the Earth is about 6,400 km. a. Express the Earth-Moon distance in units of Earth radil. Show your work. b. Express the Earth-Moon distance in units of Lunar radii. Show your work.

Answer 1

a) 59.375 Earth radii.

b) 237.5 Moon radii.

Explanation:

Given : The distance between the Earth and the Moon is about 380,000 km. The radius of the Earth is about 6,400 km.

To find :

a. Express the Earth-Moon distance in units of Earth radii.

b. Express the Earth-Moon distance in units of Lunar radii.

Solution :

The radius of the Earth is about 6,400 km.

Moon is nearly
`(1)/(4)`th size of earth.

So, The radius of the moon is
`(6400)/(4)=1600\ km`

The distance between the Earth and the Moon is about 380,000 km.

a) Earth-Moon distance in units of Earth radii is given by

`(380000)/(6400)=59.375` Earth radii.

b) Earth-Moon distance in units of Moon radii is given by

`(380000)/(1600)=237.5` Moon radii.