I am taking the basic physics class thru Udacity. This blog is my scratch pad and results as I work my way thru the class. In addition, I am refreshing myself on basic calculus
Monday, July 30, 2012
Unit 6 - Problem 6 ==> Battle of the Forces
Given:
K_{electrostatic-constant} = 8.99 * 10^9
G_{gravity-constant} = 6.67 * 10^-11
\mbox{Two bodies with same mass and charge of 1 coulomb each.}
Question:
\mbox{At what mass are the force of gravity and the electrostatic force equal?}
Rationale:
F_{gravity} = F{electrostatic-charge}
\frac{G * m^2}{r^2} = \frac{K * Q^2}{r^2}
m^2 = \frac{K * Q^2}{G}
m = \sqrt\frac{K * Q^2}{G}
Calculate
m = \sqrt\frac{(8.99 * 10^9)}{(6.67 * 10^-11)}
m = \sqrt{(1.347826 * 10^{20})}
m = 1.16 * 10^{10}
Comparison:
\mbox{mass of the earth} = 5.972 * 10^{24}\;\mbox{kg}
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