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Sagot :
ANSWER:
2.95 * 10^7 meters
STEP-BY-STEP EXPLANATION:
Given:
mass of space vehicle (m) = 555 kg
mass of earth (M) = 5.98 * 10^24 kg
Gravitational force (F) = 255 N
G = 6.67 * 10^-11 N m^2/kg^2
We calculate the distance using the gravitational force formula:
[tex]F=\frac{G\cdot m\cdot M}{r^2}[/tex]We substitute and solve for r, just like this:
[tex]\begin{gathered} 255=\frac{6.67\cdot 10^{-11}\cdot 555\cdot 5.98\cdot 10^{24}}{r^2} \\ \\ r^2=\frac{6.67\cdot10^{-11}\cdot555\cdot5.98\cdot10^{24}}{255} \\ \\ r=\sqrt{8.68\cdot10^{14}} \\ \\ r=2.95\cdot10^7\text{ m} \end{gathered}[/tex]They are at a distance of 2.95 * 10^7 meters
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