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Question
Two different unknown masses A and B collide. A is initially at rest when B has a speed v. After collision B has a speed v/2 and moves at right angles to its original direction of motion. Find the direction in which A moves after the collision.
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Solution
Given:
`u_2 = v, u_1 = 0`
`v_2 = v/2, theta = ?`
Component along x-axis
`m_1v_1 costheta = m_2v` ..................(1)
Component along y-axis
`m_1v_1 sintheta = m_2(v/2)` ..................(2)
from (1) and (2)
`tan theta = ((v/2))/v = 1/2;`
`theta = tan^-1(1/2) = tan^-1(0.5); theta = 26^circ33^'.`
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