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.

Respuesta :

Answer:

a) 59.375 Earth radii.

b) 237.5 Moon radii.

Step-by-step 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 [tex]\frac{1}{4}[/tex]th size of  earth.

So, The radius of the moon is [tex]\frac{6400}{4}=1600\ km[/tex]

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

[tex]\frac{380000}{6400}=59.375[/tex] Earth radii.

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

[tex]\frac{380000}{1600}=237.5[/tex] Moon radii.