A ball with a speed of 9 m s - 1 collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of 30 ° with the original direction. If the ratio of velocities of the balls after the collision is x : y , then what is the value of x ?

Question

A ball with a speed of 9 m s - 1 collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of 30 ° with the original direction. If the ratio of velocities of the balls after the collision is x : y , then what is the value of x ?,

MARKS App · Accepted Answer

From conservation of momentum along y - axis. P → i y = P → f y 0 + 0 = m v 1 sin 30 ° j ^ + m v 2 sin 30 ° - j ^ m v 2 s i n 30 ° = m v 1 s i n 30 ° v 2 = v 1 or v 1 v 2 = 1

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