Determine Initial Velocity of Projectile with Ballistic Pendulum

AI Thread Summary
The discussion focuses on determining the initial velocity of a projectile using a ballistic pendulum setup. The pendulum has a mass of 2.50 kg, and the projectile has a mass of 0.010 kg, with the pendulum reaching a height of 0.65 m after the collision. A participant initially proposed an initial velocity of 3.6 m/s for the projectile but was informed that this value is incorrect. The correct approach involves using conservation of momentum rather than conservation of energy, as the latter does not apply in this scenario. The conversation emphasizes the importance of applying the right physical principles to solve the problem accurately.
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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Hi uvburgos and welcome to PF,

What are your thoughts on the question? Which concepts are involved? Have your read your class notes on the concepts involved?
 
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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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