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CBSE Class 11-science Answered

A mortar fires a shell of mass M which explodes into two pieces of mass M/5 and 4M/5 at the top of the trajectory. The smaller mass falls very close to the mortar. In the same time the bigger piece lands a distance D from the mortar. The shell would have launched at a distance R from the mortar if ther was no explosion. The value of D is
Asked by Anil | 05 Sep, 2017, 07:26: PM
answered-by-expert Expert Answer
1) The shell explodes into two pieces of which one lands very close to the mortar and the other lands at a distance D.
 
2) However, the centre of mass of the two pieces will follow the original trajectory and we can safely assume that the centre of mass will be at a distance R from the mortar which is supposed to be the distance without explosion.
 
begin mathsize 12px style straight x subscript CM equals fraction numerator begin display style straight M over 5 end style cross times 0 plus begin display style fraction numerator 4 straight M over denominator 5 end fraction end style cross times straight D over denominator begin display style straight M over 5 end style plus begin display style fraction numerator 4 straight M over denominator 5 end fraction end style end fraction equals fraction numerator begin display style fraction numerator 4 MD over denominator 5 end fraction end style over denominator straight M end fraction equals 4 over 5 straight D because straight x subscript CM equals straight R therefore straight R equals 4 over 5 straight D rightwards double arrow straight D equals 5 over 4 straight R equals 1.25 straight R end style
Answered by Romal Bhansali | 07 Sep, 2017, 12:40: PM

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