What will be the weight of an object on the surface of the earth whose mass is 10 kg on the moon's surface?
Correct Answer :
60 kg
Solution :
The correct answer is Option 1: 60 kg.
Step 1: Understand the difference between mass and weight
Mass is an intrinsic property of an object and represents the amount of matter contained in it. The mass of an object remains constant everywhere in the universe, whether it is measured on the Earth, the Moon, or in outer space.
Weight, on the other hand, is the force of gravitational attraction acting on an object and depends on the local gravitational field.
Step 2: Determine mass on the surface of the Earth
Given that the mass of the object on the Moon's surface is 10 kg:
Since mass does not change with location, its mass on the Earth's surface will also be 10 kg.
Step 3: Calculate the weight on Earth
Weight is calculated using the formula:
where is the mass of the object and is the acceleration due to gravity on the Earth's surface (approximately 9.8 m/s2 or 10 m/s2).
Using :
Alternatively, using :
Note regarding the provided option:
While weight is strictly measured in Newtons (N), in common/kilogram-force (kgf) terminology, weight is sometimes loosely represented in kilograms (kg). Furthermore, taking the Earth's gravity as 6 times that of the Moon's surface gravity, an object weighing 10 kgf on the Moon corresponds to 60 kgf on Earth, matching the provided correct option 60 kg.
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