Help me to solve this problem. "Calculate the ratio of gravitational force of the moon to the gravitational force of the earth, by taking the mass of the earth to be 6.0x10^24 kg , radius of earth as 6.4x10^6 m , the mass of the moon as 7.4x10^22 kg , and radius of the moon as 1.7x10^6 m. "
2007-10-19 03:32:04 · 4 answers · asked by nick heidfeld 1 in Science & Mathematics ➔ Astronomy & Space
The gravity force pushing down on one kilogram mass is as follows;
Force(weight) =GxM/R^2, where G is Newton's constant,M is the gravitational mass and R is the radius .
The Ratio of The weight of one kilogram mass on earth to that on the moon is as follows;
Assuming the mass of the earth is aprox 80 times that of the moon.
Weight on the earth/ weight on the moon equal to ;
(G x Mass of earth / G x Mass of moon )Radius ^2 of moon/ radius Square of Earth.
The ratio=80 x R^2 of moon /R^2 of Earth
The rest is simple arithmetic.
2007-10-19 04:00:06 · answer #1 · answered by goring 6 · 0⤊ 1⤋
Hmmm. Deep question. so a techniques as i know the stress of gravity is a few thing that's observed, yet no person can say what the reason being. In different words, that's observed that via postulating a stress of gravity, we can clarify the attraction of diverse products to a minimum of one yet another and could compute orbits of the planets, satellites, etc. Gravitational stress is proportional to the hundreds of the two products that are attracting one yet another, so as that an merchandise with two times the mass will entice with two times the stress. The gravitational stress additionally falls off because of the fact the sq. of the gap, so as that an merchandise that's two times as a techniques away will entice with 4 cases much less stress. those are postulations that Isaac Newton made which allowed him to wisely anticipate the strikes of the planets and different actual phenomena, yet isn't an evidence for the explanation for gravity.
2016-10-04 03:57:33 · answer #2 · answered by ? 4 · 0⤊ 0⤋
You need to calculate the density of each by calculating the volume of each, then dividing by the mass so you end up with a figure which represents the number of kgs per cubic metre.
Then you need to express these two different resulting figures as a ratio by multiplying both numbers to make the Earth's density equal "1". (eg if the Earth was 0.5kg/cu.m and the Moon was 0.2kg/cu.m, you would multiply both figures by 2 so that the ratio became 1 to 0.4).
Hope this helps - I'm assuming you know some basic maths like how to calculate the volume of a sphere.
2007-10-19 03:56:14 · answer #3 · answered by the_lipsiot 7 · 0⤊ 1⤋
g in earth = 9.81
g in moon = 1.63
Don`t think about the mass and radius ! These are the facts ! Sientific facts !
More mass , same radius = More g !
More radius , same mass = Less g !
Now go to find the gravity force in the 11th moon of saturn !
2007-10-19 04:57:44 · answer #4 · answered by Third eye 2 · 0⤊ 2⤋