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:

Question

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:, v 4 - v 2 4, v 4 - v 2 2, v 4 + v 2, v 4 - v 2

MARKS App · 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

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