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A projectile fired at an angle of `45^(@)` travels a total distance R, called the range, which depends only on the initial speed v and the acceleration of gravity g. Using dimensional analysis, find how R depends on the speed and on g. |
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Answer» Correct Answer - `R=Kv^(2)/g` `R prop v^(a)g^(b) rArr [L]=[LT^(-1)]^(a)[LT^(-2)]^(b)` `rArr a+b=1, -a-2b=0` `rArr a=2, b=-1 rArr R prop v^(2)/g` |
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