Momentum and CollisionHardBloom L3
Question
A projectile is projected in x-y plane with velocity v0. At top most point of its trajectory projectile explodes into two identical fragments. Both the fragments land simultaneously on ground and stick there. Taking point of projection as origin and R as range of projectile if explosion had not taken place. Which of the following can not be position vectors of two pieces, when they land on ground.
Options
A.$\frac{R}{2}\widehat{i},\frac{3R}{2}\widehat{i}$
B.$0\widehat{i},2R\widehat{i}$
C.$R\widehat{i} - R\widehat{k},R\widehat{i} + R\widehat{k}$
D.$2R\widehat{i} + \frac{R}{2}\widehat{k},R\widehat{i} - \frac{R}{2}\widehat{k}$
Solution
Sol. (A) 
⇒ ↑ st at falls down
(B) 
(C) $X_{cm} = \frac{mR + mR}{2m} = R$
Ycm =0
$Y_{cm} = \frac{- mR + mR}{2m}$
∴ This is the possible poster
(D) $X_{cm} = \frac{2R.m + mB}{2m\frac{3R}{2}}$
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