Bullet shot into pendulum - conservation of energy

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SUMMARY

The discussion centers on a physics problem involving a 27-g rifle bullet traveling at 230 m/s that embeds itself in a 3.3-kg pendulum, causing it to swing upward. The key equations utilized include the conservation of energy principle, specifically the relationship between kinetic and potential energy. The user aims to determine the vertical (h) and horizontal (x) components of the pendulum's maximum displacement using the derived equations. The solution involves calculating the kinetic energy of the bullet and equating it to the potential energy at the pendulum's highest point.

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  • Understanding of conservation of energy principles in physics
  • Familiarity with kinetic and potential energy equations
  • Knowledge of trigonometric functions and their applications in physics
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  • Study the conservation of energy in inelastic collisions
  • Learn about the derivation and application of the kinetic energy formula
  • Explore the relationship between pendulum motion and energy transformations
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of energy conservation in real-world scenarios.

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Homework Statement


A 27-g rifle bullet traveling 230m/s buries itself in a 3.3-kg pendulum hanging on a 2.9-m-long string, which makes the pendulum swing upward in an arc.
Determine the vertical and horizontal components of the pendulum's maximum displacement.
x=? and h=?

Homework Equations


v= (m+M)/m * sqr root (2gh)


The Attempt at a Solution


I just expanded on the above equation and derived several others ..dont know where to go next.. L = length of string ; M=block's mass ; h=max height ; x=distance on x-axis ; m=bullet's mass
v= (m+M)/m * sqr root (2gh)
(v* (m/m+M)^2)/(2g)=h
h= L(1-cos theta)
cos-1 theta(-1 ((h/L)-1) = theta
L sin theta = x
EDIT: sorry nicksauce. I have now included the question.
 
Last edited:
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What exactly is the question here? I see no question marks in your post.
 


I would be inclined to use "conservation of Energy". You can calculate the kinetic energy of the bullet and you can take the potential energy to be 0 at the bottom of the arc. At the highest point the kinetic energy of both is 0 so all energy has be changed to potential energy. From the potential energy you can find the height.

I think this will get a better response in the physics section so I am going to move it there.
 

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