How Does a Bullet Affect Pendulum Motion?

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The discussion revolves around a physics problem involving a bullet impacting a pendulum. The bullet's mass is 10g, traveling at 300 m/s, and it passes through a 2.2 kg pendulum, which swings to an angle of 15 degrees after the impact. To solve for the bullet's final speed (Vf), conservation of momentum should be applied to express the initial velocity in terms of Vf. The change in potential energy of the pendulum during its swing can be used to determine its initial kinetic energy. It is emphasized that kinetic and potential energies should not be conserved throughout the problem due to the inelastic nature of the collision.
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Homework Statement



A 10g bullet moving at 300 m/s hits and passes through a 2.2 kg pendulum target. After impact the 1.2 m long pendulum rises up an angle of 15 degrees. Find the final speed (Vf) of the bullet.
http://img233.imageshack.us/img233/7566/34494449gz4.png

Homework Equations


sigma(P)=sigma(P')
sigma(E)=sigma(E')

The Attempt at a Solution



i have no idea where to begin
 
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Use conservation of momentum to find the initial velocity (hence initial kinetic energy of the pendulum) in terms of Vf. Take the change in potential energy of the pendulum during to swing to figure out what the initial kinetic energy was. Now solve for Vf. DO NOT attempt to conserve kinetic and potential energies throughout the problem. The collision itself is inelastic. Got that? Now get started.
 
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