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Question Number 47903 by Necxx last updated on 16/Nov/18

Commented by Necxx last updated on 16/Nov/18

mr Tanmay mrw and mr Ajfour  please help

$${mr}\:{Tanmay}\:{mrw}\:{and}\:{mr}\:{Ajfour} \\ $$$${please}\:{help} \\ $$

Commented by mr W last updated on 16/Nov/18

mass of the body must be given to  get an answer.

$${mass}\:{of}\:{the}\:{body}\:{must}\:{be}\:{given}\:{to} \\ $$$${get}\:{an}\:{answer}. \\ $$

Commented by Necxx last updated on 17/Nov/18

so if it were to be solved with the  mass given as m what will be the  procedure?

$${so}\:{if}\:{it}\:{were}\:{to}\:{be}\:{solved}\:{with}\:{the} \\ $$$${mass}\:{given}\:{as}\:{m}\:{what}\:{will}\:{be}\:{the} \\ $$$${procedure}? \\ $$

Commented by Necxx last updated on 17/Nov/18

ok...Thanks

$${ok}...{Thanks} \\ $$

Commented by mr W last updated on 17/Nov/18

assume the mass is m=10kg.  energy before =((mv^2 )/2)  energy lost =105 J  energy after=mgh  ((mv^2 )/2)−105=mgh  ⇒h=(1/g)((v^2 /2)−((105)/m))  ⇒h=(1/(10))(((10^2 )/2)−((105)/(10)))=3.95 m

$${assume}\:{the}\:{mass}\:{is}\:{m}=\mathrm{10}{kg}. \\ $$$${energy}\:{before}\:=\frac{{mv}^{\mathrm{2}} }{\mathrm{2}} \\ $$$${energy}\:{lost}\:=\mathrm{105}\:{J} \\ $$$${energy}\:{after}={mgh} \\ $$$$\frac{{mv}^{\mathrm{2}} }{\mathrm{2}}−\mathrm{105}={mgh} \\ $$$$\Rightarrow{h}=\frac{\mathrm{1}}{{g}}\left(\frac{{v}^{\mathrm{2}} }{\mathrm{2}}−\frac{\mathrm{105}}{{m}}\right) \\ $$$$\Rightarrow{h}=\frac{\mathrm{1}}{\mathrm{10}}\left(\frac{\mathrm{10}^{\mathrm{2}} }{\mathrm{2}}−\frac{\mathrm{105}}{\mathrm{10}}\right)=\mathrm{3}.\mathrm{95}\:{m} \\ $$

Commented by Necxx last updated on 17/Nov/18

now I understand.Thank you.

$${now}\:{I}\:{understand}.{Thank}\:{you}. \\ $$

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