A shell projected from a level ground has a range R, if it did not explode. At the highest point, the shell explodes into two fragments having masses in the ratio 1:4; with each fragment moving horizontally immediately after the explosion. If the lighter fragment falls at a distance R from the point of projection, behind the point of projection, the distance at which the other fragments falls from the point of projection is

Question

Infinity Learn · Accepted Answer

$$xcm=m1x1+m2x2m1+m2$$                   $$R=m5($$−$$R)+4m5(x2)m$$                 $$MR=m5($$−$$R)+45mx2$$                 $$R+R5=45x2$$                 $$6R5=45x2$$                 $$x2=64R=32R$$

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