The table shows the values of two quantities for an astronaut on Earth and Earth's moon.

\begin{tabular}{|l|c|c|}
\hline \multicolumn{3}{|c|}{ Astronaut's Details } \\
\hline & Earth & Moon \\
\hline Quantity A & 70 units & 70 units \\
\hline Quantity B & 686 units & 112 units \\
\hline
\end{tabular}

Which of the following names the quantity and correctly explains why that represents the astronaut's mass?

A. Quantity A, because it remains the same throughout
B. Quantity B, because it is independent of other quantities
C. Quantity B, because it changes with gravitational strength



Answer :

To determine which quantity represents the astronaut's mass, we need to analyze how each quantity behaves on Earth and on the Moon.

1. Quantity A Analysis:
- On Earth, Quantity A is 70 units.
- On the Moon, Quantity A is also 70 units.
- This indicates that Quantity A remains constant regardless of location.

2. Quantity B Analysis:
- On Earth, Quantity B is 686 units.
- On the Moon, Quantity B is 112 units.
- This indicates that Quantity B changes depending on the location, specifically with gravitational strength.

Key Concept:
- Mass is an intrinsic property of an object and does not change regardless of location or gravitational conditions.
- Weight, on the other hand, is dependent on the gravitational force acting on the object and therefore changes with different gravity strengths.

Given these principles:
- Quantity A: Since it remains the same on both Earth and Moon, it must represent the astronaut's mass.
- Quantity B: Since it changes based on gravitational strength, it must represent the astronaut's weight.

Conclusion:
The quantity that represents the astronaut's mass is Quantity A. This is because the mass of an object remains constant regardless of location, and this matches with how Quantity A behaves.

Hence, the correct answer is:

Quantity A, because it remains the same throughout.