If a rock is brought from the surface of the moon

Options

A. its mass will change
B. its weight will change, but not mass
C. both mass and weight will change
D. its mass and weight will remain the same

Explanation

To solve the question regarding the mass and weight of a rock brought from the surface of the moon to Earth, we can break it down into the following steps:

### Step-by-Step Solution:

1. **Understanding Mass and Weight**:
- Mass is a measure of the amount of matter in an object and is constant regardless of location. It is measured in kilograms (kg).
- Weight is the force exerted by gravity on an object and is calculated using the formula:
\[ \text{Weight} = \text{Mass} \times \text{Acceleration due to gravity} (g) \]
- Therefore, weight can change depending on the gravitational field strength of the location.

2. **Mass of the Rock**:
- Let's denote the mass of the rock as \( M \).
- When the rock is on the moon, its mass remains \( M \).

3. **Weight of the Rock on the Moon**:
- The acceleration due to gravity on the moon is approximately \( g' \), which is about \( \frac{1}{6} \) of the Earth's gravity (\( g \)).
- The weight of the rock on the moon can be expressed as:
\[ \text{Weight on Moon} = M \times g' \]

4. **Bringing the Rock to Earth**:
- When the rock is brought to Earth, its mass \( M \) does not change.
- However, the acceleration due to gravity changes to \( g \) (approximately \( 9.81 \, \text{m/s}^2 \)).

5. **Weight of the Rock on Earth**:
- The weight of the rock when it is on Earth can be calculated as:
\[ \text{Weight on Earth} = M \times g \]

6. **Conclusion**:
- The mass of the rock remains constant at \( M \) whether it is on the moon or on Earth.
- The weight of the rock changes from \( M \times g' \) on the moon to \( M \times g \) on Earth due to the difference in gravitational acceleration.

### Final Answer:
- The mass of the rock remains the same, but its weight changes when it is brought from the surface of the moon to Earth.