A2 question on the sun, moon and earth. Please help!?

Question

Ok ive tried this for an hour now, but cant work it out. the question says

'' Show that pull of the Sun on the Moon is about 2.2 times larger than the pull of the Earth on the moon. ''

Useful Data given:

G= 6.67 x 10^ -11 N m^2 kg^ -2

Earth's Mass = 5.07 x 10^ 24 kg

Moon's Mass = 7.34 x 10^ 22 kg

Radius of the moon = 1.64 x 10^ 6 m

Radius of the Earth = 6.37 x 10^ 6m

Earth-Moon distance = 3.8 x 10^ 5 km

Equations that can be used:

g = F/m

F = [(G)(m1)(m2)] / r^2

g = [(G)(M)] / r^2

F = [(G)(M)(m)] / r^2

W = mg

I can calculate the Earth-to-moon part, but am stuck on the Sun part. How do i find out the distance from the Sun to the moon? help me please.

Answer 1

Yeah, that is a problem.

Try using 150,000,000 km.  That's the approximate distance.

Answer 2

sun - moon distance is about the same as sun-earth distance

best of luck

5.1e24*7.3e22/3.8e5/3.8e5  is this > 7.1e22*2e30/1.5e8/1.5e8  ?

Me*Mm/(De_m)^2  compared with Mm*Ms/(De_s)^2

put some accurate value in for Sun mass (Ms) and sun-earth distance (De_s) and it is about 2.2 ish