question 9
1 pts
two objects are a distance of 1.8 x 103 meters apart. one of the objects has a mass of 7.1 x
108 kg and the other has a mass of 8.1 x 106 kg. determine the force of gravity acting on one
of the objects from the other.
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Accepted Answer

# Explanation:
## Step1: Recall the formula for gravitational force
The formula for gravitational force is $ F = G\frac{m_1m_2}{r^2} $, where $ G = 6.67\times10^{- 11}\space N\cdot m^{2}/kg^{2}$, $m_1 = 7.1\times10^{8}\space kg$, $m_2 = 8.1\times10^{6}\space kg$, and $r = 1.8\times10^{3}\space m$.
## Step2: Substitute the values into the formula
$$
\begin{align*}
F&=(6.67\times 10^{-11})\frac{(7.1\times 10^{8})(8.1\times 10^{6})}{(1.8\times 10^{3})^{2}}\
&=(6.67\times 10^{-11})\frac{7.1\times8.1\times10^{8 + 6}}{1.8^{2}\times10^{6}}\
&=(6.67\times 10^{-11})\frac{57.51\times10^{14}}{3.24\times10^{6}}\
&=(6.67\times 10^{-11})\times\frac{57.51}{3.24}\times10^{14-6}\
&=(6.67\times 10^{-11})\times17.75\times10^{8}\
&=(6.67\times17.75)\times10^{-11 + 8}\
&=118.4\times10^{-3}\
& = 0.1184
\end{align*}
$$

# Answer:
$0.1184$

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Question

Explanation:

Step1: Recall the formula for gravitational force

Step2: Substitute the values into the formula

Answer: