Answered

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A space vehicle, of mass 555 kg, experiences a gravitational pull from Earth of255 N. The mass of Earth is 5.98 x 10^24 kg. How far is the vehicle above the surface of Earth?

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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