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