A body of mass m 1 moving with an unknown velocity of v 1 i ^ , undergoes a collinear collision with a body of mass m 2 moving with a velocity v 2 i ^ . After the collision, m 1 and m 2 move with velocities of v 3 i ^ and v 4 i ^ , respectively. If m 2 = 0.5 m 1 and v 3 = 0.5 v 1 , then v 1 is:

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Aicharya · Accepted Answer

From the conservation of linear momentum,

m_{1} v_{1} + m_{2} v_{2} = m_{1} v_{3} + m_{2} v_{4}

m_{1} v_{1} + (0.5 m_{1}) v_{2} = m_{1} (0.5 v_{1}) + (0.5 m_{1}) v_{4}

0.5 v_{1} + 0.5 v_{2} = 0.5 v_{4}

v_{4} = v_{1} + v_{2}

v_{1} = v_{4} - v_{2}

A body of mass m 1 moving with an unknown velocity of v 1 i ^ , undergoes a collinear collision with a body…

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