The mass of a body on Earth is 100 kg (acceleration due to gravity, ge - 10 m/s2). If acceleration due to gravity on the Moon ge/6, then the mass of the body on the moon is

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Q: 109 (IAS/2001)
The mass of a body on Earth is 100 kg (acceleration due to gravity, ge - 10 m/s2). If acceleration due to gravity on the Moon ge/6, then the mass of the body on the moon is

question_subject: 

Science

question_exam: 

IAS

stats: 

0,15,24,13,8,15,3

keywords: 

{'moon': [2, 0, 5, 2], 'mass': [0, 0, 2, 3], 'gravity': [0, 0, 0, 6], 'acceleration': [0, 0, 2, 8], 'kg': [0, 1, 9, 24], 'earth': [0, 1, 1, 1], 'body': [27, 3, 23, 37]}

Let me provide a correct explanation:

The weight of an object, which is the force experienced by the object due to gravity, does change depending on the location or acceleration due to gravity. The weight of an object can be calculated using the formula:

Weight = mass × acceleration due to gravity

On Earth, the acceleration due to gravity is approximately 10 m/s² (ge = 10 m/s²), and the mass of the body is given as 100 kg. Using the formula, we can calculate the weight of the body on Earth:

Weight on Earth = mass × ge = 100 kg × 10 m/s² = 1000 N

Now, let`s consider the Moon. The acceleration due to gravity on the Moon is about one-sixth (ge/6) of the acceleration due to gravity on Earth. Substituting ge/6 for ge, we can calculate the weight of the body on the Moon:

Weight on Moon = mass × (ge/6) = 100 kg × (10 m/s² / 6) ? 166.67 N

Therefore, the weight of the body on the Moon is approximately 166.67 N. However, it`s important to note that the mass of the body remains the same regardless of the location. The mass of the body is still 100 kg both on Earth and on the Moon.