Question

A shell is fired from gun with a velocity of $300m{s}^{-1}$ making an angle ${60}^0$ with the horizontal. It explodes into two fragments when it reaches the highest position. The ratio of the masses of the two pieces is 1 : 3. If the smaller piece stops immediately after the collision. Find velocity of the other.

• A. $0m{s}^{-1}$
• B. $200m{s}^{-1}$
• C. $250m{s}^{-1}$
• D. $300m{s}^{-1}$

Answer 1

The correct option is B $200m{s}^{-1}$

Velocity at highest point

$300\times cos60=150m/s$
i.e
using momentum conservation

$150\times m=\frac{3m}{4}\times v$

$v=200m/s$