I just worked out (3.) using the same method.
I found the distance between the Earth and the sun to be 1.5E11m.
v=2piR/T
= 2pi (1.5 E 11) / (365*24*60*60)
= 2.99 E 4
V^2 = 8.95 E 8 = Gm/R
8.95 E 8 = (6.67E-11)(m) / (1.5E11)
m = 2 E 30 kg
Established answer: m = 2 E 31 kg
v = 2piR/T
= 2pi(3.84E8)/(28*60^60)
=2.41 E 4
v^2 = 5.82E8 = Gm/R
5.82E8 = (6.67E-11)(m)/(3.84E8)
m = 3.35 E27 kg
What the answer is supposed to be: m = 5.98 E24 kg
The radius of the moon's orbit is 3.84 * 10^8 m. (I just googled it haha).
I plugged that into v = 2piR/ T to find v, then used v^2 = Gm/R to find the mass, but my answers still don't match up :/
There aren't many girls in the physics program in my school.
I hear some college admissions are easier on girls who want to major in physics/engineering/compsci
[SOLVED] gravity fun
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