A shell is fired from a canon with a velocity V at an angle θ with horizontal direction. At highest

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5.Work, Energy, Power and Collision

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A shell is fired from a canon with a velocity $V$ at an angle $\theta$ with the horizontal direction. At the highest point in its path, it explodes into two pieces of equal masses. One of the pieces come to rest. The speed of the other piece immediately after the explosion is

A

$3V\, cos\theta$

B

$2V\, cos\theta$

C

$\frac{3}{2}\,V\cos \theta $

D

$V\, cos\theta$

Solution

$\mathrm{V}_{\mathrm{com}}=\mathrm{V} \cos \theta$

$\mathrm{V} \cos \theta=\frac{-\mathrm{m} 0+\mathrm{mv}_{2}}{2 \mathrm{m}}$

$\therefore \mathrm{v}_{2}=2 \mathrm{V} \cos \theta$

Standard 11

Physics

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