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Two different unknown masses A and B col...

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 collision.

Text Solution

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Given: `u_(2)=v, u_(1)=0`
`v_(2)=v/2, theta=?`
component along x-axis
`m_(1)v_(1)costheta=m_(2)v` ….(1)
component along y-axis
`m_(1)v_(1)sintheta=m_(2)(v/2)` …(2)
from (1) and (2)
`tantheta=((v/2)/v)=1/2 `,
`theta=tan^(-1)(1/2)=tan^(-1)(0.5),theta=26^(@)33^(.) `
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