Question

A body of mass $2kg$ moving with a velocity of $3m/s$ collides with a body of mass $1kg$ moving with a velocity of $4m/s$. If the collision is one dimensional and inealstic, the velocity of the composite mass after the collision may be

• A. $\left(3/2\right)m/s$
• B. $\left(2/3\right)m/s$
• C. $4m/s$
• D. $\left(10/3\right)m/s$

Answer 1

Answer: (B), (D)

$\left(2/3\right)m/s$
$\left(10/3\right)m/s$

Given that Collision is completely inelastic,

If both masses have velocities in the same direction,

$2\times 3+1\times 4=(2+1)\times v$

$v=\frac{10}{3}m/s$

If both masses have velocities in the oppsoite direction,

$2\times 3-1\times 4=(2+1)\times v$

$v=\frac{2}{3}m/s$

Hence option $\text{B,D}$ is the correct answer.