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5, Two bodies whose masses are in the ratio 2:1are dropped simultaneously at two places Aand B where the accelerations due to gravityare g and g respectively. If they reach theground simultaneously, the ratio of the heightsrom which they are dropped isA" B

Answer»

Let us start from the basics,So,I am assuming the body had a free fall from a height hA and hB respectivleySo,the potential energy stored will be converted into kinetic energySo,(1/2) m v² = mghv=√2ghAnd,t=√(2h/g)So,we conclude that time taken is independent of the massesNow they both reached the ground at the same time so,h = t²g/2So,height and gravity acceleration is directly proportional to each otherSo,hA / hB = gA/ gB

This is the required relation.



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