suppose the radius of earth becomes five times of its original radius and mass is reduced to 12.5 times of its original mass then what will happen to your weight?
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The radius of the earth is twice its original radius.
To Find:
The change in our weight when the radius of the earth is twice its original radius.
Solution:
We know that F = GMm p2 is the weight of the body which is attracted towards the earth.
.. W = GMm p2 > (1) ->
If the radius of the earth becomes twice the original radius then,
→ W = GMm (2r)² = GMm 4r2 (2), comparing equation (2) with equation (1) we get,
→ W = 1/4
Hence, the weight is reduced by one fourth of its original weight.
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Answer:
Answer: weight is inversely proportional to the square of radius. Therefore, when radius R of the earth becomes twice of its present radius, our weight become 1/4 of its present
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