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The table below shows the mass of four objects in the Solar System. How many times as massive as [tex]\(N\)[/tex] is [tex]\(J\)[/tex]?

\begin{tabular}{|c|c|}
\hline Object & Mass (kg) \\
\hline [tex]$J$[/tex] & 1,900 \\
\hline [tex]$S$[/tex] & 570 \\
\hline [tex]$N$[/tex] & 100 \\
\hline [tex]$U$[/tex] & 87 \\
\hline
\end{tabular}

A. 25

B. 23

C. 20

D. 19

Sagot :

To determine how many times as massive as object [tex]\( N \)[/tex] is object [tex]\( J \)[/tex], we will follow several steps:

1. Identify the masses of objects [tex]\( J \)[/tex] and [tex]\( N \)[/tex].
- From the table, the mass of object [tex]\( J \)[/tex] (denoted as [tex]\( \text{mass}_J \)[/tex]) is 1900 kg.
- The mass of object [tex]\( N \)[/tex] (denoted as [tex]\( \text{mass}_N \)[/tex]) is 100 kg.

2. Calculate the ratio of the mass of object [tex]\( J \)[/tex] to the mass of object [tex]\( N \)[/tex].

The ratio can be found using the formula:
[tex]\[ \text{Ratio} = \frac{\text{mass}_J}{\text{mass}_N} \][/tex]

3. Substitute the given values into the formula.

[tex]\[ \text{Ratio} = \frac{1900 \, \text{kg}}{100 \, \text{kg}} \][/tex]

4. Perform the division.

[tex]\[ \text{Ratio} = 19 \][/tex]

Therefore, object [tex]\( J \)[/tex] is 19 times as massive as object [tex]\( N \)[/tex].

So the correct answer is:
D) 19