The acceleration due to gravity on the surface of the moon `= (1)/(6)` the acceleration due to gravity on the surface of the earth. What will be the mass of a steel ball on the surface of the moon, if its mass on the surface of the earth is 6 kg ?

Options

A. 1 kg
B. zero
C. 6 kg
D. 36 kg

Explanation

To solve the problem, we need to understand the relationship between mass and weight. The mass of an object remains constant regardless of its location, while its weight can change depending on the gravitational acceleration at that location.

**Step-by-Step Solution:**

1. **Understand the Given Information:**
- The mass of the steel ball on Earth is given as \( m = 6 \, \text{kg} \).
- The acceleration due to gravity on the Moon is \( g' = \frac{1}{6} g \), where \( g \) is the acceleration due to gravity on Earth.

2. **Recognize the Concept of Mass:**
- Mass is an intrinsic property of an object and does not change regardless of the location. Therefore, if the mass of the steel ball on Earth is 6 kg, it will also be 6 kg on the Moon.

3. **Conclusion:**
- The mass of the steel ball on the surface of the Moon is the same as its mass on the surface of the Earth, which is \( 6 \, \text{kg} \).

4. **Final Answer:**
- The mass of the steel ball on the surface of the Moon is \( 6 \, \text{kg} \).