Question

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. Find the speed of the other piece immediately after the explosion.

• A. 3V cos $\theta$
• B. 2V cos $\theta$
• C. $\frac{3}{2}$ V cos
• D. V cos $\theta$

Answer 1

Answer: (B)

2V cos $\theta$

By the conservation of momentum
$\therefore mVcos\theta =\frac{m}{2}{V}^{\prime }$ ; Here $Vcos\theta$ is the horizontal velocity.
$\therefore V^{\prime }=2Vcos\theta$
Hence,option B is correct.