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If acceleration due to gravity on the earth is 10 m/s2 , then the acceleration due to gravity on moon is
  • a)
    1.66 m/s2
  • b)
    16.6 m/s2
  • c)
    10 m/s2
  • d)
    0.166 m/s2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If acceleration due to gravity on the earth is 10 m/s2 , then the acc...
Acceleration due to gravity on the moon is 1.66 m/s^2.

Explanation:
1. Understanding acceleration due to gravity:
Acceleration due to gravity is the acceleration experienced by an object when it is in the gravitational field of another object. On Earth, the acceleration due to gravity is approximately 10 m/s^2.

2. Comparison between Earth and Moon:
The acceleration due to gravity on the moon is different from that on Earth due to the difference in their masses and radii. The moon has a smaller mass and radius compared to Earth, which affects the strength of its gravitational field.

3. Formula for acceleration due to gravity:
The formula for acceleration due to gravity is given by:
a = G * (m1 / r^2)
where:
- a is the acceleration due to gravity
- G is the gravitational constant (approximately 6.674 × 10^-11 N m^2/kg^2)
- m1 is the mass of the object creating the gravitational field
- r is the distance between the object and the center of mass

4. Calculation for the moon:
The mass of the moon is approximately 7.34 × 10^22 kg, and its radius is approximately 1,737 km (or 1.737 × 10^6 m). Using the formula mentioned above, we can calculate the acceleration due to gravity on the moon.

a = (6.674 × 10^-11 N m^2/kg^2) * (7.34 × 10^22 kg) / (1.737 × 10^6 m)^2
a ≈ 1.66 m/s^2

5. Conclusion:
Therefore, the acceleration due to gravity on the moon is approximately 1.66 m/s^2, which is significantly less than the acceleration due to gravity on Earth (10 m/s^2).
Free Test
Community Answer
If acceleration due to gravity on the earth is 10 m/s2 , then the acc...
gmoon =(⅙)gearth
= (⅙)× 10 = 1.66 m/s2
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