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Formula for Calculating KE

Kinetic Energy Formula:

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

kg
m/s

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1. What is Kinetic Energy?

Kinetic energy is the energy possessed by an object due to its motion. It is a scalar quantity that depends on both the mass and velocity of the object, representing the work needed to accelerate the object from rest to its current velocity.

2. How Does the Calculator Work?

The calculator uses the kinetic energy formula:

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

Where:

Explanation: The kinetic energy increases with the square of velocity, meaning doubling the velocity quadruples the kinetic energy, while doubling the mass only doubles the kinetic energy.

3. Importance of Kinetic Energy Calculation

Details: Kinetic energy calculations are fundamental in physics and engineering for analyzing motion, collisions, safety design, energy conservation, and understanding the relationship between force, mass, and acceleration.

4. Using the Calculator

Tips: Enter mass in kilograms and velocity in meters per second. Both values must be positive (mass > 0, velocity ≥ 0). For accurate results, ensure units are consistent.

5. Frequently Asked Questions (FAQ)

Q1: What are the SI units for kinetic energy?
A: The SI unit for kinetic energy is joules (J), where 1 joule = 1 kg·m²/s².

Q2: Why is velocity squared in the formula?
A: Velocity is squared because kinetic energy depends on the square of velocity, reflecting how energy increases exponentially with speed rather than linearly.

Q3: Can kinetic energy be negative?
A: No, kinetic energy is always non-negative since both mass and the square of velocity are always positive or zero.

Q4: How does kinetic energy relate to work?
A: The work-energy theorem states that the net work done on an object equals its change in kinetic energy.

Q5: What is the difference between kinetic and potential energy?
A: Kinetic energy is energy of motion, while potential energy is stored energy due to position or configuration in a force field.

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