What Happens to the Missing Energy in an Inelastic Collision?

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SUMMARY

The discussion centers on the energy transformations occurring during an inelastic collision in a ballistic pendulum experiment. The initial kinetic energy (KE) of the projectile, calculated as (mv²/2), does not equal the final potential energy (PE) of the system, represented as (M+m)gh, due to energy loss during the collision. This energy is primarily converted into thermal energy and sound, which does not significantly impact the overall results of the experiment. The inelastic nature of the collision is confirmed as the ball embeds into the pendulum, leading to energy dissipation.

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  • Understanding of kinetic and potential energy concepts
  • Familiarity with inelastic collisions in physics
  • Basic knowledge of energy conservation principles
  • Experience with ballistic pendulum experiments
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  • Study the principles of energy conservation in inelastic collisions
  • Explore the effects of thermal energy on kinetic energy in collisions
  • Investigate the role of air resistance in projectile motion
  • Learn about the mathematical modeling of ballistic pendulum experiments
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Physics students, educators, and anyone interested in understanding energy transformations in mechanical systems, particularly in the context of collisions and pendulum dynamics.

leykis101
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i did a lab, the ballistic pendulum, and need help with one of the questions in the lab. here it is:
The initial kinetic energy of the projectile is (mv^2/2). The final potential energy of the system is (M+m)gh. However these two values are not equal in this experiment. Explain what happened to the missing energy and why it doesn't really affect the results.
m=the mass of the ball
M=the mass of the pendulum
any help? thanks
 
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What do you think? Hint: What kind of collision does the projectile undergo?
 
if i had to take an educated guess i would have to say that energy is lost to heat when the ball is embedded into the pendulum. because of this the energy at the top is less than the energy at the bottom. I am not sure if this is correct though.
 
Completely correct! The ball and pendulum undergo an inelastic collision, which transforms some of the ball's original KE into thermal energy.

OK, so why doesn't this "loss" of energy affect your results?
 
leykis101 said:
if i had to take an educated guess i would have to say that energy is lost to heat when the ball is embedded into the pendulum. because of this the energy at the top is less than the energy at the bottom. I am not sure if this is correct though.
Indeed, that is correct. So that would make this collision an ######### collision. You could also perhaps mention air resistance, although it is most probably negligable. So why wouldn't this loss of energy affect your experiment?

Edit: The Doc strikes again...
 
the energy conservation formula refer in ideal
why you test many times?... because there are manythings in reality
such as force againts the wind or rusty of metal

Doc Al said:
Completely correct! The ball and pendulum undergo an inelastic collision, which transforms some of the ball's original KE into thermal energy.

OK, so why doesn't this "loss" of energy affect your results?

yes :!) maybe sound and heat
 
Last edited:

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