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Speed from Potential Energy Formula:
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The speed from potential energy calculation determines the velocity an object achieves when its potential energy is converted entirely into kinetic energy. This principle is fundamental in physics and applies to various scenarios like falling objects and pendulum motion.
The calculator uses the energy conservation formula:
Where:
Explanation: This formula derives from the conservation of energy principle, where potential energy (PE) converts entirely to kinetic energy (½mv²), allowing us to solve for velocity.
Details: Calculating speed from potential energy is crucial in physics, engineering, and safety analysis. It helps predict object velocities in free fall, roller coaster design, impact analysis, and various mechanical systems.
Tips: Enter potential energy in Joules and mass in kilograms. Both values must be positive numbers. The calculator assumes 100% energy conversion efficiency and neglects air resistance and other dissipative forces.
Q1: What types of potential energy does this apply to?
A: This primarily applies to gravitational potential energy (PE = mgh), but works for any form where PE converts directly to kinetic energy.
Q2: Why is there a factor of 2 in the formula?
A: The factor of 2 comes from the kinetic energy formula (KE = ½mv²). When solving for velocity, the ½ becomes 2 in the numerator.
Q3: Does this account for air resistance?
A: No, this calculation assumes ideal conditions without air resistance or other energy losses. Real-world speeds may be lower.
Q4: Can this be used for elastic potential energy?
A: Yes, if the elastic potential energy completely converts to kinetic energy, the same formula applies.
Q5: What are typical speed ranges from this calculation?
A: Speeds can range from very slow (small PE/mass ratio) to very fast (large PE/mass ratio), depending on the specific scenario and energy involved.