After perfectly inelastic collision between two identical particles moving with same speed in different directions, the speed of the combined particle becomes half the initial speed of either particle. The angle between the velocities of the two before collision is

After perfectly inelastic collision between two identical particles mo

1.	After perfectly inelastic collision between two identical particles moving with same speed in different directions, the speed of the combined particle becomes half the initial speed of either particle. The angle between the velocities of the two before collision is
Answer» <html><body><p><<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</a>></p>Solution :In <a href="https://interviewquestions.tuteehub.com/tag/perfectly-7309466" style="font-weight:bold;" target="_blank" title="Click to know more about PERFECTLY">PERFECTLY</a> inelastic collision between two particles, linerar momentum is conserved. `Let theta ` be the <a href="https://interviewquestions.tuteehub.com/tag/angle-875388" style="font-weight:bold;" target="_blank" title="Click to know more about ANGLE">ANGLE</a> between the velocities of the two particles before collision . Then <br/> `p _(2) = p _(1) ^(2) + 2 p _(i) p_(2) cos theta or (2m (v )/(2)) ^(2) = (mv) ^(2)+ (mv) ^(2) + 2 (mv ) (mv) cos theta` <br/> or `1=1 + 1+ 2 cos theta or cos theta = - 1/2 , (or) theta = 120^(@)`</body></html>