એક પથ્થરને h ઊંચાઈ પરથી છોડવામાં આવે છે. તે ચ | vedclass

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Question

$\begin{array}{l}
\,\,\,\,\,\,\,\,\,\,When\,a\,stone\,is\,dropped\,from\,a\
height\,h,\,it\,hits\,the\,ground\,with\,a\,\
momentum\
\,\,\,\,\,\

Vedclass · Accepted Answer

$41$

Vedclass · Answer

$\begin{array}{l}
\,\,\,\,\,\,\,\,\,\,When\,a\,stone\,is\,dropped\,from\,a\
height\,h,\,it\,hits\,the\,ground\,with\,a\,\
momentum\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,P = m\sqrt {2gh} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,...\left( i ight)\
Where\,m\,is\,the\,mass\,of\,the\,stone.\
When\,the\,same\,stone\,is\,dropped\,from\
a\,height\,2h\,\left( {i.e,.\,100\% \,of\,initial} ight),\,then\
its\,momentum\,with\,which\,it\,hits\,the\,\
ground\,becomes
\end{array}$

$\begin{array}{l}
\,\,\,\,\,\,P' = m\sqrt {2g\left( {2h} ight)}  = \sqrt {2P} \,\,\,\,\,({m{Using}}\left( i ight))...\left( {ii} ight)\
\% \,chenge\,in\,momentum\, = \frac{{P' - P}}{P} 	imes 100\% \
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{\sqrt 2 P - P}}{P} 	imes 100\%  = 41\% \,\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,
\end{array}$

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