the weight of the body at a distance 2R from the of the earth of radius R is 2.5N.if the distance is 3R from the centre of the earth the weight of the body is?
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The weight at a distance of 3R will be 1.11 N
From newton's law we know that the force of attraction due to gravity
F =
Where G = gravitational constant
m₁ = mass of earth
m₂ = mass of object
r = distance from the center of earth
Hence
weight ∝ 1/r²
=> w₁/w₂ = r₂²/r₁²
=> 2.5/w₂ = 9R²/4R² = 9/4
=> w₂ = 2.5 x 4/9
=> w₂ = 1.11 N
Hence the weight at a distance of 3R will be 1.11 N.
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