Potential Energy To Kinetic Calculator

Energy Conversion Equation:

\[ \frac{1}{2} m v^2 = m g h \]

Mass (m):

Velocity (v):

m/s

Gravity (g):

m/s²

Height (h):

Kinetic Energy:

Potential Energy:

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1. What is the Energy Conversion Equation?

The energy conversion equation describes the relationship between potential energy and kinetic energy. It shows how potential energy (mgh) converts to kinetic energy (½mv²) as an object falls under gravity.

2. How Does the Calculator Work?

The calculator uses the energy conversion equation:

\[ \frac{1}{2} m v^2 = m g h \]

Where:

\( m \) — Mass of the object (kg)
\( v \) — Velocity of the object (m/s)
\( g \) — Acceleration due to gravity (m/s²)
\( h \) — Height from reference point (m)

Explanation: This equation demonstrates the conservation of mechanical energy, showing how potential energy converts to kinetic energy (and vice versa) in a closed system.

3. Importance of Energy Conversion

Details: Understanding energy conversion is fundamental in physics and engineering. It's essential for analyzing motion, designing mechanical systems, and solving problems related to falling objects, pendulums, and other systems where energy transforms between potential and kinetic forms.

4. Using the Calculator

Tips: Enter mass in kilograms, velocity in meters per second, gravity in m/s² (Earth's gravity is approximately 9.8 m/s²), and height in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard value for gravity on Earth?
A: The standard value is approximately 9.8 m/s², though it varies slightly depending on location and altitude.

Q2: Does this equation account for air resistance?
A: No, this is the ideal equation that assumes no energy loss to air resistance or other non-conservative forces.

Q3: Can I use this for objects not in free fall?
A: The equation applies to any situation where mechanical energy is conserved, not just free fall scenarios.

Q4: What units should I use for accurate results?
A: Use SI units: kilograms for mass, meters per second for velocity, m/s² for gravity, and meters for height.

Q5: How does mass affect the energy conversion?
A: Mass cancels out in the conversion (½v² = gh), meaning the energy conversion ratio is independent of mass.