Question

explain the difference between mass and weight for objects on earth and on the moon.

Explanation:

1. Definition of Mass: Mass is the amount of matter in an object. It is an intrinsic property, so the mass of an object remains the same regardless of its location (Earth, Moon, or elsewhere in the universe). For example, a 10 kg mass on Earth will still be 10 kg on the Moon.
2. Definition of Weight: Weight is the force exerted on an object due to gravity. It is calculated as \( W = mg \), where \( m \) is mass and \( g \) is the acceleration due to gravity.
3. On Earth vs. On the Moon: The acceleration due to gravity on the Moon (\( g_{Moon} \approx 1.62 \, \text{m/s}^2 \)) is about 1/6 of that on Earth (\( g_{Earth} \approx 9.8 \, \text{m/s}^2 \)). So, if an object has a mass \( m \), its weight on Earth is \( W_{Earth}=m\times9.8 \) and on the Moon is \( W_{Moon}=m\times1.62 \). Thus, the weight of an object on the Moon is about 1/6 of its weight on Earth, but the mass remains unchanged.

Answer:

• Mass: Remains constant (same on Earth and Moon) as it is the amount of matter in an object.
• Weight: Depends on gravity. An object's weight on the Moon is ~1/6 of its weight on Earth (since \( g_{Moon} \approx \frac{1}{6}g_{Earth} \)) as weight \( W = mg \).