Two solid rubber balls A and B having masses | vedclass

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(C) According to the law of conservation of linear momentum,the total initial momentum of the system must equal the total final momentum.Initial momen

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$-0.15$

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(C) According to the law of conservation of linear momentum,the total initial momentum of the system must equal the total final momentum.Initial momentum $P_i = m_A v_A + m_B v_B$Given: $m_A = 0.2 \, kg$,$m_B = 0.4 \, kg$,$v_A = 0.3 \, m/s$.Since the balls are moving in opposite directions,let the direction of $A$ be positive. Thus,$v_A = +0.3 \, m/s$ and $v_B$ will be negative.Final momentum $P_f = 0$ (since both balls come to rest).$m_A v_A + m_B v_B = 0$$(0.2 \, kg)(0.3 \, m/s) + (0.4 \, kg)(v_B) = 0$$0.06 + 0.4 v_B = 0$$0.4 v_B = -0.06$$v_B = -\frac{0.06}{0.4} = -0.15 \, m/s$.

Two solid rubber balls $A$ and $B$ having masses $200 \, g$ and $400 \, g$ respectively are moving in opposite directions. The velocity of $A$ is $0.3 \, m/s$. After the collision,both balls come to rest. Determine the velocity of $B$ in $m/s$.

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