2007-08-18 09:51:22 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Physics
Your weight on earth is proportional to the product of your mass and the earths mass divided by the radius squared of earth. This is from the definition of gravitational force.
Similary on the moon your weight would be proportional to your mass and the mass of the moon divided by the radius squared of moon.
Take the ratio of these, so the moons mass is .0123 earth mass
and the moons radius is .273 earths radius
so your weight on the moon would be
120 * .0123 /.273^2 = 19.8 lbs
Or just under 20 lbs and that is how you arrive at it.
20 lbs is inaccurate because the moons gravity is not exactly 1/6 earths. Answers greater than 20 lbs are just plain wrong.
2007-08-18 10:38:06 · answer #1 · answered by Radzewicz 6 · 0⤊ 0⤋
The Moon has approx. one-sixth the gravity of the Earth. By dividing 120 by 6, you come up with an approximate weight of 20 pounds.
2007-08-18 09:57:35 · answer #2 · answered by Elaine P...is for Poetry 7 · 2⤊ 0⤋
About 20 punds. 1/6th gravity on moon compared to earth punds (whatever a pund is, for you were talking weight not mass.)
2007-08-18 10:00:17 · answer #3 · answered by Jeremiah 3 · 1⤊ 0⤋
Twenty pounds. The moon' surface gravity is about a sixth of the earth's. Most astronomy texts have comparative surface gravity figures for solar system objects.
2007-08-18 09:56:02 · answer #4 · answered by Anonymous · 1⤊ 0⤋
if ur weight is 120 pounds on earth, then it'll be 20 pounds on moon. gravity of moon is 1/6 of earth. but ur mass will still be 120 pounds.... anly ur weight changes.
2007-08-18 09:56:49 · answer #5 · answered by Anonymous · 1⤊ 0⤋
About 20.546 pounds.
Force = Mass X Gravitational Acceleration
Acceleration due to gravity:
Moon: 5.479 feet/sec^2
Earth: ~ 32 feet/sec^2
Earth: 120 pounds = mass x 32 (feet/sec^2)
mass = 120 pounds / 32 (feet/sec^2) = 3.75 slugs
Moon: weight = 3.75 slugs x 5.479 (feet/sec^2)
weight = 20.546 pounds
Another way to solve this is just to make a ratio of the weights equal to the ratio of accelerations and solve for the unknown weight:
(Moon weight / Earth Weight) = (Moon acceleration / Earth Acceleration)
weight /120 = (5.479/32)
weight = 120 x (5.479/32) = 20.546 pounds
2007-08-18 10:25:08 · answer #6 · answered by daver201 2 · 2⤊ 1⤋
20 pounds, moon's gravity is one sixth that of Earth.
2007-08-22 04:14:37 · answer #7 · answered by johnandeileen2000 7 · 1⤊ 0⤋