1: The moon is only ______ as massive as the earth.
1/23
1/32
1/78
1/81
2: The force of gravity on the moon is ___ the force of gravity on the earth.
1/2
1/3
1/5
1/6
2007-11-09 06:29:16 · 6 answers · asked by Michele 1 in Science & Mathematics ➔ Astronomy & Space
1: 1/81
2: 1/6
documentation below:
2007-11-09 06:41:57 · answer #1 · answered by wonderland.alyson 4 · 2⤊ 2⤋
1.Mass of the Earth = 5.98 Ã 10^24 kg, and the Mass of the moon = 7.36 Ã 10^22 kg - so, comparing them
5.98 X 10^24 / 7.36 x 10^22 = 1/81
2. Last one: 1/6 the gravity of Earth's.
2007-11-09 14:38:57 · answer #2 · answered by quantumclaustrophobe 7 · 2⤊ 2⤋
Okay here's why:
Your weight would be 1/6.
A fast way to figure this out is though scaling.
The ratio of masses Earth to Moon is: M(earth)/M(moon)
5.972e24/7.35e22
= 81.2... your answer would be 1/81
The ratio of Diameters is : D(Earth/D(moon)
12,756 Km/3476 Km
= 3.7
Where Fg = Gmm/r^2
The ratio of the distance is squared, therefore,
3.7^2 = 13.69
So you get 81.2/13.69 = 5.93... Close, but I had round off errors. or 1/5.93 =.1685
which is 1/6 approximate....
2007-11-09 23:07:25 · answer #3 · answered by TicToc.... 7 · 0⤊ 3⤋
for the 2nd one i thinks its 1/5 but u should check on wikipedia
2007-11-09 17:11:23 · answer #4 · answered by Jay H 2 · 0⤊ 4⤋
1. Don't know off the top of my head, I'm sure one of these other fellow space geeks will comply.
2. 1/6
2007-11-09 14:33:02 · answer #5 · answered by Jansen J 4 · 1⤊ 4⤋
1/78
1/5
2007-11-09 14:32:50 · answer #6 · answered by Anonymous · 0⤊ 5⤋