Understanding Weight Variation: Moon vs. Earth
The question asks to find the weight of a body on Earth, given its weight on the Moon.
Key Concept: The gravitational pull on Earth is approximately 6 times stronger than the gravitational pull on the Moon. Therefore, a body's weight on Earth is about 6 times its weight on the Moon.
Calculating Earth Weight from Moon Weight
Let $W_{moon}$ be the weight of the body on the Moon and $W_{earth}$ be the weight of the body on Earth.
Given:
- $W_{moon}$ = 3 N
The relationship between weight on Earth and Moon is:
$ W_{earth} \approx 6 \times W_{moon} $
Substitute the given value:
$ W_{earth} \approx 6 \times 3 \, \text{N} $
$ W_{earth} \approx 18 \, \text{N} $
Thus, the weight of the body on Earth will be approximately 18 N.
Important Questions from Gravitation
Which one of the following statement is true for the relation, \(F= \frac{{G{m_1}{m_2}}}{{{r^2}}}\) ?
(All symbols have their usual meanings)Suppose there are two planets, 1 and 2, having the same density but their radii are R 1and R 2respectively, where R 1> R 2. The accelerations due to gravity on the surface of these planets are related as
LIGO stands for
If radius of the earth were to shrink by 1%, its mass remains the same, g would decrease by nearly
The radius of the Moon is about one-fourth that of the Earth and acceleration due to gravity on the moon is about one-sixth that on the earth. From this, we can conclude that the ratio of the mass of earth to the mass of the moon is about
