First slide

The steps in collision

Question

Two particles of masses m₁ and m₂ in projectile motion have velocities $\large \vec V_1$ and $\large \vec V_2$ respectively at time t = 0. They collide at time t₀. Their velocities become $\large \vec V_1^1$ and $\large \vec V_2^1$ at time 2t₀ while still moving in air. The value of $\large \left| {({m_1}\vec v_1^1 + {m_2}\vec v_2^1) - ({m_1}{{\vec v}_1} + {m_2}{{\vec v}_2})} \right|$ is

Moderate

A

zero
B

$\large ({m_1} + {m_2})g{t_0}$
C

$\large 2({m_1} + {m_2})g{t_0}$
D

$\large \frac 12({m_1} + {m_2})g{t_0}$

Solution

$\large \Delta P = F \times \,t = ({m_1} + {m_2})g\,\,2{t_0}$

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