A ball of mass 1kg is moving with a velocity of 15m/sec undergoes head on elastic collision with another ball
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Aristocles Ambitious
for elastic collision between two balls we can say momentum of two balls is conserved
P_{1i} + P_{2i} = P_{1f} + P_{2f}
now we have
m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}
0.1*v_{1i} + m_2*0 = 0.1*(-\frac{v_{1i}}{3}) + m_2v_{2f}
\frac{0.4v_{1i}}{3} = m_2v_{2f}
also for elastic collision we can say
v_{2f} - v_{1f} = v_{1i} - v_{2i}
v_{2f} - (-\frac{v_{1i}}{3}) = v_{1i} - 0
v_{2f} = \frac{2v_{1i}}{3}
now from above two equations
\frac{0.4v_{1i}}{3} = m_2* \frac{2v_{1i}}{3}
m_2 = 0.2 kg
so mass of other ball is 0.2 kg
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