Electricity rearranging problem

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SUMMARY

The forum discussion centers on a complex physics problem involving the formula for velocity, expressed as V = mgR tan(θ) / B²L² cos(θ). Key variables include mass (m), gravitational acceleration (g), magnetic field strength (B), resistance (R), and length (L). Participants are tasked with proving this formula using established physics principles, particularly from electricity. A related formula, V = mgr / B²L² sin²(θ), was also mentioned, suggesting a need for trigonometric identities to bridge the two equations.

PREREQUISITES
  • Understanding of basic physics concepts, including velocity and gravitational force.
  • Familiarity with electrical principles, particularly resistance and magnetic fields.
  • Knowledge of trigonometric identities and their applications in physics.
  • Ability to manipulate and derive formulas based on known equations.
NEXT STEPS
  • Research trigonometric identities relevant to physics problems.
  • Study the relationship between magnetic fields and electric resistance.
  • Explore advanced physics topics on velocity derivations in electromagnetic contexts.
  • Investigate the application of the formula V = mgR tan(θ) in real-world scenarios.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in the intersection of electricity and mechanics, particularly in solving complex reasoning problems in physics.

maccaman
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We have this complex reasoning question (at school) with this weird situation, anyway they say incorporating every part gives the formula
[tex]V = mgR tan (\theta) / B^2 L^2 cos (\theta)[/tex]

Where V is the velocity
m is the mass
g is the acceleration (gravity)
B is the magnetic field strength
R is the resistance
L is the length

Now this question is a proof and i must prove it using known physics formula's (mainly from electricity).

The closest i got was to proving it was
[tex]V = mgr / B^2 L^2 sin^2(\theta)[/tex]

If anyone could help me would be greatly appreciated.
 
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try using trigonometric identities :biggrin:
 
I would think that the physical "reasoning" (however complex) would tell you what "formulas" to use. If you post the "reasoning", I'm sure that the proof will present itself.
 

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