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Energy vs Momentum 
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#1
Feb1207, 02:06 PM

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1. The problem statement, all variables and given/known data
A bullet hits balk of 5kg on a rope of 2m lenths. Bullets mass 2gr, velocity unknown. Plastic collission, balk goes upat 45 degrees. 2. Relevant equations When i solve it with energy equations i get h=22cos45=0.58m V(of balk and bullet) = sqrt(2gh)=3.38 m/s. (potential energy of total mass) Now i need to find a velocity of bullet at t(0). Here is the trick when i solve it using momentum i get: mv=(m+M)V v=8450 m/s But!! when i solve it using energy i got m*sqr(v)/2=(m+M)*g*h v=168.5 m/s. Thinking about that we used the potential energy to calculate a balk speed and taking into account an absolute plastic collision i dont know why is the differense? Thanks for any help. 


#2
Feb1207, 08:31 PM

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#3
Feb1307, 02:46 AM

P: 3

Ok, thanks for reply.
But to solve it using momentum approach i took velocity of balk and a bullet after collision which i got using the very energy equation. So if the energy is not saved totally as you say how can we use that velocity of balk to calculate velocity of bullet? I mean when the bullet hits the balk it gives it its total energy and balk goes up  converting kinetic energy into potential. Now using the height of rising we got velocity of balk using energy equations. So the energy the bullet gave to balk  the bullet had at the fire moment  a kinetic. The difference between results is too big for thinkinf about heat etc. 


#4
Feb1307, 08:58 AM

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Energy vs Momentum
During the collision, there are no external forces acting on the system, that is why momentum is conserved. But energy is not conserved during the collision, because of the fact that there are nonconservative forces acting in bringing the bullet to a stop as it penetrates the balk. After the collision takes place in a very short impulse of time, now energy must be conserved, because only the gravity force...a conservative force..is acting. But since gravity is an external force, momentum is not conserved after the collision. 


#5
Feb1307, 12:29 PM

P: 3

Thanks , now i got it. :)



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