Calculate the change in the total kinetic energy

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SUMMARY

The discussion revolves around calculating the change in total kinetic energy during a collision between two pucks on a frictionless air table. Puck A, with a mass of 0.245 kg, moves towards puck B, which has a mass of 0.360 kg and is initially at rest. After the collision, puck A moves at 0.115 m/s to the left, while puck B moves at 0.660 m/s to the right. The initial kinetic energy of the system must be calculated using the conservation of momentum, as puck A cannot have an initial velocity of 0 m/s, contradicting the premise of the collision.

PREREQUISITES
  • Understanding of kinetic energy calculation using the formula KE = 0.5 * m * v^2
  • Knowledge of conservation of momentum principles
  • Familiarity with basic physics concepts related to collisions
  • Ability to perform calculations involving mass and velocity
NEXT STEPS
  • Calculate the initial velocity of puck A using conservation of momentum
  • Determine the initial kinetic energy of puck A before the collision
  • Calculate the final kinetic energy of both pucks after the collision
  • Analyze the change in total kinetic energy of the system
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators seeking to clarify concepts of kinetic energy and momentum conservation.

emeraldempres
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On a frictionless, horizontal air table, puck A (with mass 0.245 kg) is moving toward puck B (with mass 0.360 kg), that is initially at rest. After the collision, puck A has a velocity of 0.115 m/s to the left, and puck B has velocity 0.660 m/s to the right.

Calculate the change in the total kinetic energy of the system that occurs during the collision.

I tried putting it all into the change of kinetic energy equation but it does not work, this is my equation

.5(.245 kg)(-.155^2)+ .5(.36)(.66^2)= .08 J

But that answer is wrong, can smeone help?
 
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What's the initial velocity of puck A? Use that to find the initial KE of the system.
 
The initial velocity i believe to be 0 m/s because the answer does not specify. using this, since the ke is equal to .5mv^2, the initial ke is 0 J. am i on the right track?
 
Here, you have to solve for the initial conditions of the system. Puck A had some velocity that you can solve for using conservation of momentum, so its kinetic energy is not zero.

Puck B's initial kinetic energy is zero, though. But that's only important insofar that all of the initial momentum is in puck A.
 
emeraldempres said:
The initial velocity i believe to be 0 m/s because the answer does not specify. using this, since the ke is equal to .5mv^2, the initial ke is 0 J. am i on the right track?
The initial speed cannot be zero, otherwise there would be no collision:
emeraldempres said:
On a frictionless, horizontal air table, puck A (with mass 0.245 kg) is moving toward puck B
Make sure you post the complete problem exactly as it was given.
 

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