Ballistic Pendulum Rifle: Solving for Post-Collision Height

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SUMMARY

The discussion focuses on solving a ballistic pendulum problem involving a bullet of mass 0.03 kg traveling at 240 m/s colliding with a pendulum of mass 2.88 kg. The key steps to find the maximum height after the collision involve two stages: first, calculating the velocity of the combined bullet and pendulum immediately after the collision using momentum conservation, and second, applying energy conservation to determine the height using the formula PE = mgh. The kinetic energy formula KE = (1/2)mv² is also highlighted as essential for these calculations.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with kinetic and potential energy equations
  • Basic knowledge of physics concepts related to collisions
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study momentum conservation in inelastic collisions
  • Learn about energy conservation in mechanical systems
  • Practice solving ballistic pendulum problems with varying masses and velocities
  • Explore the implications of mass and velocity on the height reached after collisions
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Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators looking for practical examples of ballistic pendulum problems.

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The problem:

https://tycho-s.phys.washington.edu/cgi/courses/shell/common/showme.pl?courses/phys121/autumn08/homework/06/IE_algebra_ballistic_pendulum_MOM/pic.gif

A rifle bullet of mass m = 0.03 kg traveling at vb = 240 m/s collides with and embeds itself in a pendulum of mass M = 2.88 kg, initially at rest and suspended vertically by massless strings of length L = 2 m.

How high does the pendulum-bullet combination rise after the collision?

I don't know the process for solving this equation, so help would be appreciated.
 
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Energy preservation. Kinetic gets converted into potential.
 
Okay, so I need to use PE = mgh. I don't understand what I do with the velocity of the bullet and how to setup the problem, if I could get a little more guidance it would help me out

Thanks.
 
What is formula for kinetic energy?
 
We did this the other day, except we just manipulated the formulas instead of working with actual values.
I am going to attempt to make sense of what I have for that note, so you may hear from me soon...
 
Borek said:
What is formula for kinetic energy?

KE = (1/2)mv2
 
Is there something you still don't know? Just beware which mass is which - ballistic pendulum mass after hit is that of pendulum PLUS bullet.
 
Borek said:
Is there something you still don't know? Just beware which mass is which - ballistic pendulum mass after hit is that of pendulum PLUS bullet.

I don't understand what it is I do with the equation for Kinetic Energy, I'm supposed to find the height of the bullet-pendulum system after the bullet hits the pendulum.
 
h as of mgh.
 
  • #10
This problem is best solved in two stages:
(1) The collision itself. You need to find the speed of the block+bullet immediately after the collision. Hint: Energy is not conserved, but something else is.
(2) The rising of the pendulum after the collision. Here you do use energy conservation, as Borek explains.
 
  • #11
Doc Al said:
Hint: Energy is not conserved, but something else is.

Do we have an emoticon for selffishslapping? :blushing:
 

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