Question

A gun fires a bullet of mass $50\text{g}$ with a velocity of $30\text{m/s}$. Due to this, the gun is pushed back with a velocity of $1\text{m/s}$, then the mass of the gun is:

• A. $1.5\text{kg}$
• B. $5.5\text{kg}$
• C. $0.5\text{kg}$
• D. $3.5\text{kg}$

Answer 1

The correct option is A $1.5\text{kg}$

Applying conservation of linear momentum
$MV=mv$
Where,
$M=$Mass of gun.
$V=$Velocity of gun.
$m=$Mass of bullet.
$v=$Velocity of bullet.
$M\times 1=\frac{50}{1000}\times 30=\frac{3}{2}$
$\therefore M=1.5\text{kg}$