question 2
5 points
what is the gravitational force between a mass of 2x10³⁰ kg and another mass of 6x10²⁴ kg separated by 1.5x10¹¹ m?
a 1.2x10⁵⁵ n
b 6.67x10⁴² n
c 5.6x10³² n
d 3.6x10²⁴ n

Question

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 $G = 6.67\times10^{- 11}\space Nm^{2}/kg^{2}$, $m_1 = 2\times10^{30}\space kg$, $m_2=6\times10^{24}\space kg$, and $r = 1.5\times10^{11}\space m$.
## Step2: Substitute the values into the formula
$$
\begin{align*}
F&=6.67\times 10^{-11}\times\frac{(2\times 10^{30})\times(6\times 10^{24})}{(1.5\times 10^{11})^{2}}\
&=6.67\times 10^{-11}\times\frac{12\times 10^{54}}{2.25\times 10^{22}}\
&=6.67\times 10^{-11}\times\frac{12}{2.25}\times10^{54 - 22}\
&=6.67\times 10^{-11}\times5.33\times10^{32}\
&=(6.67\times5.33)\times10^{-11 + 32}\
&\approx3.6\times10^{22}\space N
\end{align*}
$$

# Answer:
D. $3.6\times10^{22}\space N$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for gravitational force

Step2: Substitute the values into the formula

Answer: