On level ground, a shell isfired from a cannon to hit an enemy bunker situateda

Question

On level ground, a shell isfired from a cannon

to hit an enemy bunker situateda distance R

away from the cannon. At thehighest point of

the trajectory, the shellaccidentally explodes

into two equal parts. Theexplosion occurs

in such a way that the twopieces have no

velocity in the verticaldirection immediately

after the explosion.(i.e. theinternal forces

from the explosion act only inthe horizontal

direction.) One part of theshell is found to

At what distancedc from the cannon would

the second fragment fall? In terms ofR.

Explanation / Answer

           Given that the required maximum horizontal distance by the shell isR ---------------------------------------------------------------------------------------           Since the internal forces will not effect the motion ofthe cenrter motion of object . In our problem thecenter mass of the shell  reaches pointwhere the target placed at a distance R .                         Ifthe half of the mass hits the ground at a distance R/2 then,to keep the center of mass at the distance R from the initial position the second mass hits theground at a distance R/2 from the center of mass or targetpostion .             Then the distance of the second mass from the initial postionis R + R/2 = 3R /2

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