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AIPMT> a 6 kg bomb explode into 3 equal pieces P...

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a 6 kg bomb explode into 3 equal pieces P Q and R. if P flies with a speed of 30m/s and Q with 40 m/s making angle 90 degree with the direction of P. find the angle between P and R?

ankita , 10 Years ago

Grade 12th pass

1 Answers

Sumit Majumdar

Last Activity: 10 Years ago

Dear student,
Let us take P moving along y axis, Q along x axis and R making an angle alpha with -x axis and is in the third quadrant.
Hence, by conservation of momentum, we get:
Along y axis:
$30\times m=mvsin\alpha\Rightarrow vsin\alpha=30\quad...(i)$
Along x axis:
$40\times m=mvcos\alpha\Rightarrow vcos\alpha=40\quad...(ii)$
Hence,
$tan\alpha=\frac{3}{4}\Rightarrow \alpha=tan^{-1}\frac{3}{4}=37^{\circ}$
So, the required angle is equal to $90^{\circ}+37^{\circ}=127^{\circ}$ between P and R.
Regards

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