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Kinetic and Potential Energy Calculator

Energy Equations:

\[ KE = \frac{1}{2}mv^2 \] \[ PE = mgh \]

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1. What are Kinetic and Potential Energy?

Kinetic energy (KE) is the energy of motion, while potential energy (PE) is the stored energy of position. Both are measured in joules (J) in the SI system.

2. How the Calculator Works

The calculator uses these fundamental physics equations:

\[ KE = \frac{1}{2}mv^2 \] \[ PE = mgh \]

Where:

Explanation: Kinetic energy increases with the square of velocity, while potential energy increases linearly with height.

3. Practical Applications

Details: These calculations are essential in physics, engineering, and various real-world applications like roller coaster design, vehicle safety analysis, and renewable energy systems.

4. Using the Calculator

Tips: Enter mass in kilograms. For KE calculation, enter velocity in meters per second. For PE calculation, enter height in meters. You can calculate one or both energies at the same time.

5. Frequently Asked Questions (FAQ)

Q1: What are typical KE values for everyday objects?
A: A 1 kg object moving at 1 m/s has 0.5 J of KE. A car (1000 kg) at 30 m/s (108 km/h) has 450,000 J.

Q2: How does height affect PE?
A: PE increases linearly with height. A 1 kg object at 1 m height has 9.81 J of PE relative to the ground.

Q3: What units should I use?
A: Use SI units: kg for mass, m/s for velocity, and m for height to get results in joules.

Q4: Can I calculate both KE and PE at once?
A: Yes, the calculator will compute both as long as you provide the required inputs (v for KE, h for PE).

Q5: What if I only want to calculate one type of energy?
A: Simply leave the other field (velocity or height) blank or set to zero.

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