What is the formula for calculating velocity in a classical potential?

Thread starter transgalactic
Start date Jan 28, 2009
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The formula for calculating velocity in a classical potential is derived from the relationship between kinetic energy and potential energy. Given a particle with energy E moving in a potential V, the kinetic energy can be expressed as Kinetic Energy = (E - V) = (1/2)mv². Solving for velocity (v) yields the equation v = √(2(E - V)/m), where m represents the mass of the particle.

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Jan 28, 2009

transgalactic

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Jan 28, 2009

Alewhey

Well it looks like the question is about a classical potential.

If a particle has an energy E and is moving in a potential V, then we have

Kinetic Energy = (E - V) = [tex]\frac{1}{2}mv^{2}[/tex]

Then solve for v:

[tex]v = \sqrt{\frac{2(E-V)}{m}}[/tex]