7. a satellite of mass 1500 kg is orbiting the earth. the mass of the earth is 5.97 x 10²⁴ kg. if the satellite is at a distance of 7 x 10⁶ m from the center of the earth, what is the gravitational force acting on the satellite?

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Accepted Answer

# Explanation:
## Step1: Identify the formula
Newton's law of universal gravitation: $F = G\frac{Mm}{r^{2}}$, where $G = 6.67\times10^{- 11}\space N\cdot m^{2}/kg^{2}$, $M = 5.97\times10^{24}\space kg$, $m = 1500\space kg$, $r=7\times10^{6}\space m$
## Step2: Substitute the values into the formula
$$
\begin{align*}
F&=(6.67\times 10^{-11})\frac{(5.97\times 10^{24})(1500)}{(7\times 10^{6})^{2}}\
&=(6.67\times 10^{-11})\frac{8.955\times 10^{27}}{4.9\times 10^{13}}\
&=(6.67\times 10^{-11})\times1.82755\times 10^{14}\
\end{align*}
$$
## Step3: Calculate the result
$$
\begin{align*}
F&=6.67\times1.82755\times10^{-11 + 14}\
&=12.19\times10^{3}\
&=1.22\times 10^{4}\space N
\end{align*}
$$

# Answer:
$1.22\times 10^{4}\space N$

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Question

Explanation:

Step1: Identify the formula

Step2: Substitute the values into the formula

Step3: Calculate the result

Answer: