Question
Download Solution PDFAn object weight 10 N when measured on the surface of the earth what would be its weight when measured on the surface of the moon?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- Acceleration due to gravity: The acceleration achieved by any object due to the gravitational force of attraction by any planet is called acceleration due to gravity by the earth.
- As each planet has a different mass and radius so the acceleration due to gravity will be different for a different planet.
- Weight: The weight(w) of an object is the force of gravity on the object and may be defined as the mass(m) times the acceleration of gravity(g).
- Weight is a force, the SI unit of weight is Newton.
Weight (W) = m g
Where m is mass and g is the acceleration due to gravity.
The value of g is given as
G is universal constant, M is mass of planet, R is radius of planet.
g depends upon mass and radius of planet.
Explanation:
- Mass of the moon is 1/100 times and the radius of the moon is 1/4 times that of the earth.
- Since the acceleration due to the gravity of the moon is one-sixth of that of the earth.
- So Weight of any object on Moon = 1/6 × Weight of any object on the Earth surface.
- If weight is 10 N on earth, it will be
10 N / 6 on moon
10 / 6 = 1.67
So the correct option is 1.67 N.
Last updated on Jul 9, 2025
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