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This is about scientific notation and exponents.
Newton's law of gravitation can be used to compute earth's mass in grams. Applied it is 908 = 6.67 X 10^-8 x 1 x M / (6.37 x 10^8)^2. If M represents mass, what is the mass of the earth in grams?

The other one is: The mass of a proton is 1.672 x 10^-24 g. If earth's moon's mass is 7.35 x 10^22 kg, how many times larger is its mass than tha tof a proton. For this one I have 3.895.. and so on. And i rounded to 4.4 x 10^49, but I'm not sure if the answer should have to be rounded. Thanks!

2006-11-12 15:00:04 · 2 answers · asked by Panda Girl 1 in Education & Reference Homework Help

2 answers

M = [908 x (6.37 x 10^8)^2] / (6.67 x 10^-8)
M = (908 x 6.37^2 x10^16) / (6.67 x 10^8)
M = (908 x 6.37^2 x 10^8) / 6.67


7.35 * 10^22 kg = 7.35 * 10^25 g
7.35 * 10^25 = x(1.672 * 10^-24)
x = (7.35 * 10^25) / (1.672 * 10^-24) = 4.395933 * 10^49 ≈ 4.4 *10^49

2006-11-12 15:19:04 · answer #1 · answered by smarties 6 · 0 0

i've only done the first one quickly i got:

M= (908)(6.37 x 10^8)^2 / 6.6 x 10^ -8

2006-11-12 15:14:12 · answer #2 · answered by Anonymous · 0 0

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