High School

The acceleration due to gravity for objects near the Earth's surface is about 9.8 m/s². For objects near the surface of the Moon, the acceleration due to gravity is only about 1/6 of this value. Suppose a certain object on Earth has a mass of 12.0 kg.

Match the correct value to each category pertaining to the object:

1. Mass on the Moon
2. Weight on the Earth
3. Weight on the Moon

**Answer Bank:**
- 72.0 kg
- 706 N
- 12.0 kg
- 2.00 kg
- 19.6 N
- 118 N

Answer :

Final answer:

The mass of the object stays the same irrespective of location, in this case being 12.0 kg. The object's weight on Earth is 118 N (12 kg multiplied by Earth's gravitational acceleration, 9.8 m/s²) and on the Moon, 19.6 N (12 kg multiplied by Moon's gravitational acceleration, 1.62 m/s²).

Explanation:

An object's mass, referring to the amount of matter it contains, remains the same no matter where it is located. Therefore, the mass of the object on the Moon is the same as on Earth, that is 12.0 kg.

The weight of an object is the force of gravity exerted on that object, calculated as mass times acceleration. On Earth, the weight can be found by multiplying the mass of the object (12 kg) by the acceleration due to gravity on Earth (9.8 m/s²), resulting in a weight of 118 N.

On the Moon, where gravity is 1/6 of Earth's, the weight is determined by multiplying the mass (12 kg) by the Moon's acceleration due to gravity (1.62 m/s²), approximating the weight to be 19.6 N.

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