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Grade 11Mechanics

Q. A railway flat car,whose mass together with the artillery gun is M , moves at a speed V . The gun barrel makes an angle ? with the horizontal. A shell of mass 'm' leaves the barrel at a speed v,relative to the barrel.The what is the speed of the flat car in order to stop after the firing?

Profile image of Raj Deol
15 Years agoGrade 11
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2 Answers

Profile image of Chetan Mandayam Nayakar
15 Years ago

Dear Raj, 

Let the angle be 'theta'.  from conservation of horizontal component of linear momentum, we have

m(vcos(theta)+V)=MV, V= mvcos(theta)/(M-m)

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Chetan Mandayam Nayakar – IIT Madras

Profile image of Archit Uttarwar
7 Years ago
 
Dear Raj, 
 
Let the angle be 'theta'. from conservation of linear momentum in horizontal direction  we have
m(vcos(theta)+V)=(M+m)  V
V= mvcos(theta)/(M)