A gun (mass = M) fires a bullet (mass = m) with speed v_(r) relative to barrel of the gun which is inclined at an angle of 60^(@) with horizontal. The gun is placed over a smooth horizontal surface. Find the recoil speed of gun.

A gun (mass = M) fires a bullet (mass = m) with speed v_(r) relative t

1.	A gun (mass = M) fires a bullet (mass = m) with speed v_(r) relative to barrel of the gun which is inclined at an angle of 60^(@) with horizontal. The gun is placed over a smooth horizontal surface. Find the recoil speed of gun.
Answer» <html><body><p></p>Solution :Let the recoil seed of gun is `v`. Taking gun`+`bullet as the system. Net <a href="https://interviewquestions.tuteehub.com/tag/external-981194" style="font-weight:bold;" target="_blank" title="Click to know more about EXTERNAL">EXTERNAL</a> force on the system in horizontal directioin zero. <br/> initial the system was rest. Therfore, applying the <a href="https://interviewquestions.tuteehub.com/tag/principle-1166255" style="font-weight:bold;" target="_blank" title="Click to know more about PRINCIPLE">PRINCIPLE</a> of conservation of inear momentum in horizontal direction, we get <br/> `<a href="https://interviewquestions.tuteehub.com/tag/mv-1082193" style="font-weight:bold;" target="_blank" title="Click to know more about MV">MV</a>-m(v_(<a href="https://interviewquestions.tuteehub.com/tag/r-611811" style="font-weight:bold;" target="_blank" title="Click to know more about R">R</a>)cos60^(@)-v)+0` <br/> `:. v=(mV_(r)cos60^(@))/(M+m)` <br/> or `v=(mV_(r))/(2(M+m))`</body></html>