A spherical ball A of mass 4 kg , moving along a straight line strikes another spherical ball B of mass 1 kg at rest. After the collision, A and B move with velocities v 1 m s – 1 and v 2 m s – 1 respectively making angles of 30 ° and 60 ° with respect to the original direction of motion of A . The ratio v 1 v 2 will be

Question

A spherical ball A of mass 4 kg , moving along a straight line strikes another spherical ball B of mass 1 kg at rest. After the collision, A and B move with velocities v 1 m s – 1 and v 2 m s – 1 respectively making angles of 30 ° and 60 ° with respect to the original direction of motion of A . The ratio v 1 v 2 will be, 3 4, 4 3, 1 3, 3

MARKS App · Accepted Answer

Applying the law of conservation of linear momentum along a direction perpendicular to the direction of motion (i.e. along the y-axis), we get. 0 + 0 = 4 v 1 sin 30 ° – v 2 sin 60 ° 4 v 1 sin 30 ° = v 2 sin 60 ° v 1 v 2 = sin 6 0 o 4 sin 3 0 o = 3 4

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