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A stone is stopped from a height 'h' ,it hits the ground with a certain momentum p.If the samestoneis dropped from a height 100% more than the previous height,the momentum when it hits the groun will change by ............?

Asked by mythili Suresh 1st September 2015, 9:37 PM
Answered by Expert
Answer:
begin mathsize 12px style Initially space using space equatio space of space motion space we space have comma straight v squared space minus space straight u squared space equals space 2 as since comma space straight u space equals space 0 straight v space equals space straight v straight s space equals space straight h straight a space equals space straight g straight p space equals space mv rightwards double arrow straight v squared space space equals space 2 gh straight v space equals space square root of 2 gh end root straight P space equals space straight m square root of 2 gh end root In space final space case space straight a space stoneis space dropped space from space straight a space height space 100 percent sign space more space than space the space previous space height space then space we space have comma straight u space equals space 0 straight v space equals space straight v apostrophe straight a space equals space straight g straight s space equals space straight h space plus space 100 percent sign straight h space equals space 2 straight h equation space of space motion space becomes comma straight v apostrophe space equals space square root of 2 straight g left parenthesis 2 straight h right parenthesis end root space straight P apostrophe space equals space straight m square root of 2 straight g left parenthesis 2 straight h right parenthesis end root space The space change space in space momentum space is space given space as comma fraction numerator increment straight P over denominator straight P end fraction space equals space fraction numerator straight P apostrophe space minus space straight P over denominator straight P end fraction space equals space fraction numerator straight m open square brackets square root of 4 gh end root space minus square root of 2 gh end root space space close square brackets over denominator straight m square root of 2 gh end root end fraction space equals space open parentheses square root of 2 minus 1 end root close parentheses space cross times space 100 space equals space 41 percent sign end style
Answered by Expert 2nd September 2015, 9:23 AM
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