Determine Initial Velocity of Projectile with Ballistic Pendulum

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uvburgos
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The ballistic pendulum is a block with the mass 2.50kg suspended on a cable, the projectile has a mass of 0.010kg and is shouted with the initial velocity, after the collision the pendulum reach the height of h=0.65 m/s. Determine the initial velocity of the projectile.
 
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I do have the answer just need verify is my answer is correct (Vi=3.6m/s)
 
uvburgos said:
I do have the answer just need verify is my answer is correct (Vi=3.6m/s)
No, I'm afraid your answer is incorrect.

Reality check: Does 3.6 m/s seem like a realistic velocity for a bullet?
 
I forget to write at the end to ignore the friction
 
uvburgos said:
I forget to write at the end to ignore the friction
This doesn't change the answer. Your solution is still incorrect, conservation of energy does not apply here. You must you conservation of momentum.