JEE MAIN - Physics (2023 - 10th April Morning Shift - No. 19)
A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they stick together and continue to move together with velocity
$$v$$
$$\frac{v}{3}$$
$$\frac{v}{4}$$
$$\frac{v}{2}$$
Paaiškinimas
When two particles collide, the total momentum before the collision is equal to the total momentum after the collision, according to the law of conservation of momentum. Therefore, we can write:
$$mv = (m+2m) v_f$$
where $v_f$ is the final velocity of the combined particles.
Simplifying the above equation, we get:
$$v_f = \frac{mv}{3m} = \frac{v}{3}$$
So, the correct option is $$\frac{v}{3}$$.