Why is resistivity important in solving this problem?

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SUMMARY

The discussion centers on the importance of resistivity (ρ) in calculating the energy converted to heat during the inelastic collision of two metallic spheres. The first sphere has a mass M, radius R, and total charge of 0, while the second sphere has mass m, radius r, and charge q. The resistivity of the first sphere is crucial as it influences the current flow during the collision process, which affects the energy transformation. The primary method for solving the problem involves calculating the difference between the initial potential energy and the final energy after the collision.

PREREQUISITES
  • Understanding of inelastic collisions in physics
  • Knowledge of electric charge and potential energy
  • Familiarity with resistivity and its role in electrical circuits
  • Basic principles of energy conservation
NEXT STEPS
  • Study the concept of inelastic collisions and energy loss
  • Learn about the role of resistivity in electrical circuits
  • Explore the relationship between current flow and energy transformation
  • Investigate the equations governing potential energy in electrostatics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and electromagnetism, as well as educators seeking to clarify the role of resistivity in energy calculations during collisions.

LAph
In free space there are two masses:
- Metallic sphere of mass M, radius R and total charge equal to 0. It has also a resistivityρ.
- Metallic sphere of mass m, radius r and charge q.
The distance between the masses is D. We can assume r <<R<<D and m<<M. The masses start accelerating until they collide anelasticaly. Find the energy that has become heat.


My question is: Why do I need ρ to solve this problem?
My solution is basically finding the difference between the initial potential energy and the final, but i haven't used the resistivity.
 
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LAph said:
In free space there are two masses:
- Metallic sphere of mass M, radius R and total charge equal to 0. It has also a resistivityρ.
- Metallic sphere of mass m, radius r and charge q.
The distance between the masses is D. We can assume r <<R<<D and m<<M. The masses start accelerating until they collide anelasticaly. Find the energy that has become heat.


My question is: Why do I need ρ to solve this problem?
My solution is basically finding the difference between the initial potential energy and the final, but i haven't used the resistivity.
Welcome to the PF.

You probably need the resistivity of the first sphere because currents will likely flow as part of this process.

If you would like additional help with this schoolwork problem, please start a new thread in the Homework Help, Introductory Physics forum, and fill out the Template you are provided there. Thank you. :smile:
 

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