Electricity rearranging problem

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The discussion revolves around a complex reasoning question related to physics, specifically involving a formula for velocity (V) 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). The challenge is to prove this formula using established physics equations, particularly from electricity. A participant notes progress in deriving a similar equation, V = mgr / B²L² sin²(θ), and seeks assistance in completing the proof. The conversation emphasizes the importance of using trigonometric identities and understanding the underlying physical reasoning to guide the selection of relevant formulas for the proof.
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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
V = mgR tan (\theta) / B^2 L^2 cos (\theta)

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
V = mgr / B^2 L^2 sin^2(\theta)

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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