Assume that you have a mass of 50.0 kg. Earth has a mass of 5.97 x 10^24 kg and a radius of 6.38 x 10^6 m.
a. What is the force of gravitational attraction between you and Earth.
b. What is your weight.
This seems like a fairly simple problem, but I don't understand how to set it up and work it out.
Please help.
2006-11-18 13:24:09 · 3 answers · asked by swimmertommy 1 in Science & Mathematics ➔ Physics
a. The force of the gravitational attraction between two objects is given by the formula
F= G*(M1*M2/R^2)
where G is the gravitational constant, M1,M2 are the two masses and R is the distance between their center of masses.
Since the distance between your center of mass and the Earth's center of mass is such a large distance, you can approximate this distance as being the mean, average, radius of the Earth.
G can be easily found in any physics book and you are given everything else. Just plug everything in to the equation and that will give you the gravitational force between you and the Earth.
b. How much you weigh is directly related to the force you just calculated. In fact, they are the same thing. Your weight is a measure of how hard the Earth is pulling you towards its center.
My old physics professor used to joke that if you want to loose weight just walk up some stairs. Since you can't loose any mass, if you are able to decrease the distance between you and the center of the Earth you will lessen the pull of gravity and thus loose weight.
2006-11-18 15:29:36 · answer #1 · answered by thegreatdilberto 2 · 0⤊ 0⤋
a.For this difficulty, you like the rigidity formula, it is: F=G(1stmass*2ndmass/(distance^2)) So... F=(6.sixty seven*10^-eleven)*(50 kg*5.ninety seven*10^24/(6.38*10^6))^2 So the respond could be... 489.14 J b.on your weight, you like the burden formula, it is: W=mg so... W=(50 kg)*(9.8N/kg) so which you may weigh.. 490 N. wish I did each and every thing suitable.
2016-12-30 15:08:20 · answer #2 · answered by peentu 3 · 0⤊ 0⤋
F(sub g) = Gm1 m2/ r^2 i belive
search up the gravitational constant, big number just google it.
m1 is the earth's mass and m2 is your mass r is radius of the earth.
Next uhh...i dunno I'm guessing multiply 50 kg by that number.
2006-11-18 14:18:40 · answer #3 · answered by adklsjfklsdj 6 · 0⤊ 0⤋