The formula to calculate Velocity (V) from Potential Energy (PE) is:
\[ \text{V} = \sqrt{\frac{2 \times \text{PE}}{m}} \]
Where:
Velocity from Potential Energy is the speed at which an object would move if all its potential energy were converted into kinetic energy, assuming no other forces (like friction) are at work. This calculation is useful in physics for determining the velocity of an object that has been raised to a certain height and then allowed to fall.
Let's consider an example:
Using the formula to calculate the Velocity (V):
\[ \text{V} = \sqrt{\frac{2 \times 500}{2}} = \sqrt{500} \approx 22.36 \, \text{m/s} \]
This demonstrates that with a potential energy of 500 Joules and a mass of 2 kg, the velocity would be approximately 22.36 m/s.