A ball of mass $10\, kg$ is moving with a velocity of $10\, m/s$. It strikes another ball of mass $5\, kg $ which is moving in the same direction with a velocity of $4 \,m/s$. If the collision is elastic, their velocities after the collision will be, respectively
A ball of mass $10\, kg$ is moving with a velocity of $10\, m/s$. It strikes another ball of mass $5\, kg $ which is moving in the same direction with a velocity of $4 \,m/s$. If the collision is elastic, their velocities after the collision will be, respectively
$6 \,m/s, 12 \,m/s$
$12 \,m/s, 6 \,m/s$
$12\, m/s, 10 \,m/s$
$12\, m/s, 25\, m/s$
A ball of mass $10\, kg$ is moving with a velocity of $10\, m/s$. It strikes another ball of mass $5\, kg $ which is moving in the same direction with a velocity of $4 \,m/s$. If the collision is elastic, their velocities after the collision will be, respectively
${v_1} = \left( {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right)\,{u_1} + \left( {\frac{{2{m_2}}}{{{m_1} + {m_2}}}} \right)\,{u_2}$ and
${v_2} = \left( {\frac{{2{m_1}}}{{{m_1} + {m_2}}}} \right)\,{u_1} + \left( {\frac{{{m_1} - {m_2}}}{{{m_1} + {m_2}}}} \right)\,{u_2}$
on putting the values ${v_1} = 6\,m/s$ and ${v_2} = 12\,m/s$
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