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If the earth shrinks 50% of its real radius its mass remaining the same the weight of a body on the earth will Explain this answer is decrease by 25 percentage is it true

Answer»

Given:Radius of Earth decreases by 50%. But mass remains constant.To find:If there will be decrease in weight of a body by 25%. (True or False)Concept :Gravitational acceleration is ACTUALLY a FIELD INTENSITY .Calculation:Now, new mass is still M , butnew radius is r/2 (because radius decreases by 50%)Let new gravity be g2Since gravitational acceleration BECOMES 4 times , so the weight of any body on the surface of the Earth will also become 4 times.So the given STATEMENT is false.



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