Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Drag each tile to the correct box.

This table shows the acceleration due to gravity on four planets.

\begin{tabular}{|c|c|}
\hline Planet & Gravity [tex]$\left( m / s^2 \right)$[/tex] \\
\hline Earth & 9.8 \\
\hline Mercury & 3.7 \\
\hline Neptune & 11.2 \\
\hline Uranus & 8.9 \\
\hline
\end{tabular}

A person would have a different weight on each planet. Arrange the planets in increasing order based on a person's weight on the planet.

Mercury
Neptune
Earth
Uranus
[tex]$\ \textless \ $[/tex]
[tex]$\ \textless \ $[/tex]
[tex]$\ \textless \ $[/tex]
[tex]$\square$[/tex]

Response:


Sagot :

To determine the order of the planets based on a person's weight, we first consider that a person's weight on a planet is directly proportional to the acceleration due to gravity on that planet. Therefore, the greater the gravity, the more a person would weigh.

Given the gravity values for the planets:
- Mercury: [tex]\(3.7 \, m/s^2\)[/tex]
- Earth: [tex]\(9.8 \, m/s^2\)[/tex]
- Neptune: [tex]\(11.2 \, m/s^2\)[/tex]
- Uranus: [tex]\(8.9 \, m/s^2\)[/tex]

We need to arrange these planets in increasing order of gravity, and thus, in increasing order of weight.

1. Mercury: [tex]\(3.7 \, m/s^2\)[/tex]
2. Uranus: [tex]\(8.9 \, m/s^2\)[/tex]
3. Earth: [tex]\(9.8 \, m/s^2\)[/tex]
4. Neptune: [tex]\(11.2 \, m/s^2\)[/tex]

So, if we arrange the planets in increasing order based on a person's weight, the order will be:

[tex]\[ \text{Mercury} < \text{Uranus} < \text{Earth} < \text{Neptune} \][/tex]