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The acceleration due to gravity on the planet `A` is `9` times the acceleration due to gravity on planet `B`. A man jumps to a height of `2m` on the surface of `A`. What is the height of jump by the same person on the planet `B`?A. 6 mB. `2//3` mC. `2//9` mD. 18 m |
Answer» Correct Answer - D It is given that acceleratini due to gravity on planet A is 9 times the acceleration due to gravity on planet B i.e `g_(A)=9g` From third equatin of motion `v^(2)=2gh` At planet A `h_(A)=(V^(2))/(23g_(A))` At planet B `h_(B)=(v^(2))/(2g_(B))` for safe jump `v_(1)=v_(2)` Dividing Eq ii by Eq iii we have `(h_(A))/(H_(B))=(g_(B))/(g_(A))` `rarr (h_(A))/(h_(B))=1/9` `rarr h_(B)=9h_(A)=9xx2=18m` |
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