Study Question - Real Battery with bulb, current/resistance

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SUMMARY

The discussion centers on the relationship between kinetic energy and potential energy in a system involving a battery and a bulb. The key equations referenced include KE = 1/2mv^2 and F_B = I(L x B). The participant concludes that the gained kinetic energy equals the lost potential energy, specifically questioning whether the potential energy can be represented as ILB. The solution involves using the force on the rod, calculated with F = ILB, and applying accelerated motion formulas to determine the speed after a given time.

PREREQUISITES
  • Understanding of kinetic energy and potential energy concepts
  • Familiarity with the equation F = ILB in electromagnetic contexts
  • Knowledge of accelerated motion formulas
  • Basic principles of electric circuits involving batteries and bulbs
NEXT STEPS
  • Study the derivation of kinetic energy from potential energy in electromagnetic systems
  • Learn about the application of F = ILB in different circuit configurations
  • Explore accelerated motion formulas in greater detail, particularly in physics contexts
  • Investigate the principles of energy conservation in electrical systems
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and energy conservation, as well as educators looking for practical examples of these concepts in action.

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Homework Statement



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Homework Equations



[itex]KE = 1/2mv^2[/itex]
[itex]F_B=I(L x B)[/itex]

The Attempt at a Solution



I have the answer to this, (D) but I don't know how to get it.

I know that the gained kinetic energy is equal to the lost potential energy of the system. What's the potential energy of the system? ILB? If so, how does that translate to answer D?
 
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You can find the force on the rod using F = ILB. Use accelerated motion formulas to find the speed after time t.
 

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