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CBSE Class 11-science Answered

QUESTION IS ATTACHED
 
Asked by mahesh_udr2000 | 30 Aug, 2017, 03:25: PM
answered-by-expert Expert Answer
1) Power is P = Fv; F = Ma
So, we find power in terms of velocity and distance as follows:
 
begin mathsize 12px style straight P subscript 0 equals Mav equals straight M dv over dt straight v equals mv dv over ds straight v equals mv squared dv over ds
therefore straight v squared dv equals straight P subscript 0 over straight m ds end style
 
2) Integrate the above equation to get distance.
 
begin mathsize 12px style integral subscript straight v superscript 2 straight v end superscript straight v squared d straight v equals straight P subscript 0 over straight M integral subscript 0 superscript straight s ds
therefore right enclose straight v cubed over 3 end enclose subscript straight v superscript 2 straight v end superscript equals straight P subscript 0 over straight M straight s
therefore fraction numerator 8 straight v cubed over denominator 3 end fraction minus straight v cubed over 3 equals straight P subscript 0 over straight M straight s
therefore straight s equals straight M over straight P subscript 0 fraction numerator 7 straight v cubed over denominator 3 end fraction equals 7 straight x
therefore straight x equals fraction numerator Mv cubed over denominator 3 straight P subscript 0 end fraction equals fraction numerator 12 cross times 3 cubed over denominator 3 cross times 4 end fraction equals 27 space straight m end style

Answered by Romal Bhansali | 06 Sep, 2017, 04:24: PM
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