an object weighs 24 N when measured on the surface of the earth. what would be its weight when measured on the surface of the moon? where the acceleration due to gravity is about ⅙th that of the earth?
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Its weight when measured on the surface of the moon will be 4 N
The weight of the object when measured on the surface of the earth = 24 N
Weight of any object = mass of the object × acceleration due to gravity of that place where it is measured
Mass of the object remains constant everywhere
But, acceleration due to gravity changes.
Suppose, the acceleration due to gravity on the surface of the earth = g
∴ the acceleration due to gravity on the surface of the moon = g/6
[∵ Given, acceleration due to gravity is about ⅙ that of the earth]
So, the weight on moon also will be ⅙ that of the surface of the earth
∴ The weight on moon will be = 24 × ⅙ N
= 4 N
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