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Discuss elastic collision in two dimesnsion . |
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Answer» Solution :As shownin figure , supposea ball of mass `m_(1)` moving in X - direction with SPEED `v_(1i)` collideselastically with a STATIONARY ballof mass `m_(2)` . after the collision theseballmovein the directionmakingangle `theta_(1) and theta_(2)` with the X - axis with velocities `v_(1f) and v_(2F)` Momentum is conserved in collision , ` :. ` Momentum beforecollision= momentum after collision ` :. m_(1)v_(1i) = m_(1)v_(1f) +m_(2)v_(2f) ""...(1) [ :. v_(2i)=0 ] ` Here , there are three equations (2) , (3) and (4) and from theseunknown quantities can bedetermined . usually the value of `m_(1),m_(2),v_(1i) and v_(2i)` are known , whereas four terms `v_(1f),v_(2f) and theta_(1) and theta_(2)` are quantitiesmust be knownas three equations can be givethe valuesof only three unknownquantities . If the motion in one dimension then unknown terms `v_(1f) and v_(2f)` are only be obtainedbecause in this motion `theta_(1)=theta_(2) = 0 ` and henceunknown TERM can be knownby the equations in one dimension . |
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