Thursday

July 24, 2014

July 24, 2014

Posted by **olga** on Thursday, March 31, 2011 at 10:44pm.

- physics -
**tchrwill**, Friday, April 1, 2011 at 11:45amThe earth's gravity reaches out forever but the force of attraction on bodies at great distances would be extremely small depending on the mass of the body. The Law of Universal Gravitation states that each particle of matter attracts every other particle of matter with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Expressed mathematically,

F = GM(m)/r^2

where F is the force with which either of the particles attracts the other, M and m are the masses of two particles separated by a distance r, and G is the Universal Gravitational Constant. The product of G and, lets say, the mass of the earth, M, is sometimes referred to as GM or µ (the greek letter pronounced meuw as opposed to meow), the earth's gravitational constant. Thus the force of attraction exerted by the earth on any particle within, on the surface of, or above it, is F = 1.40766x10^16 ft^3/sec^2(m)/r^2 where m is the mass of the object being attracted = W/g, and r is the distance from the center of the earth to the mass. The force of attraction which the earth exerts on our body, that is, the pull of gravity on it, is called the weight of our body, and shows how heavy our body is. Thus, our body, being pulled down by by the earth, exerts a force on the ground equal to our weight. The ground being solid and fixed, exerts an equal and opposite force upward on our body and thus we remain at rest. A simple example of determining this force, or our weight, is to calculate the attractive force on the body of a 200 pound man standing on the surface of the earth. Now the man's mass is his weight divided by the acceleration due to gravity = 200/32.2 = 6.21118 lb.sec^2/ft. The radius of the surface from the center of the earth is 3963 miles x 5280 ft/mile = 20924640 feet. Thus the attractive force on his body is 1.40766x10^16(6.21118)/20924640^2 = 200 pounds. What do you know? The mans weight. Now, the attractive force on the 200 lb. man 1000 miles above the earth would only be 1.40766x10^16(6.21118)/26204640 = 127 pounds and half way to the moon, only .22 pounds.

I think you should be able to get your answer yourself.

- physics -
**Ashley**, Monday, April 2, 2012 at 1:02pm0.11

**Related Questions**

phy. - check my understanding please. Larry weighs 300 N at the surface of the ...

phy. - Larry weighs 300 N at the surface of the earth. what is the weight of ...

science. -_- - Okk so im not asking for answers, i just need somone to expplain ...

science - The pull of gravity keeps the Moon in orbit around Earth. The distance...

Physical Science - Here's a question from my homework that I have no idea where ...

earth - The weight of a large animal is 120 kg on earth , what is the weight on ...

Physics - How far above the surface of the Earth does an object have to be in ...

physics - Gravity on the moon is only 1/6 as strong as gravity on earth. What is...

Science - If on earth you weigh 420 newtons, and the gravitational pull on the ...

Physics - How far above the surface of the Earth does an object have to be in ...