Two 700 kg masses 1543 lb are separated by a distance of 33...

Two 700-kg masses (1543 lb) are separated by a distance of 33 m. Using Newton's law of gravitation, find the magnitude of the gravitational force exerted by one mass on the other. (Use G = 6.67 × 10^-11 N·m^2/kg^2.) (Round the final answer to four decimal places.) The magnitude of the gravitational force exerted by one mass on the other is ___ × 10^-9 N.

According to the Law of Universal Gravitation, the attractive force $F$ in Newtons between any two bodies in the universe is directly proportional to the product of the masses $m_{1}$ and $m_{2}$ in kilograms of the two bodies and the product of the masses $m_{1}$ and $m_{2}$ in kilograms of the two bodies and inversely proportional to the square of the distance $d$ in meters between the bodies. That is, $F=G \frac{m_{1} m_{2}}{d_{2}} . G$ is the universal gravitational constant. Its value is $6.67 \times 10^{-11} \mathrm{Nm}^{2} / \mathrm{kg}^{2}$. The distance between Earth and the Moon is about $3.84 \times 10^{8}$ meters. The mass of the Moon is $7.36 \times 10^{22}$ kilograms. The mass of Earth is $5.97 \times 10^{24}$ kilograms. What is the gravitational force that the Moon and Earth exert upon each other?

Rational Expressions and Equations

Direct, Joint, and Inverse Variation

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