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Calculation Of Kinetic Energy

Kinetic Energy Formula:

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

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. The SI unit for kinetic energy is the joule (J).

2. How Does the Calculator Work?

The calculator uses the kinetic energy formula:

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

Where:

Explanation: The kinetic energy increases with the square of the velocity, meaning that doubling the velocity quadruples the kinetic energy.

3. Importance of Kinetic Energy Calculation

Details: Calculating kinetic energy is essential in physics and engineering for understanding motion, collisions, energy transfer, and designing safety systems in vehicles and machinery.

4. Using the Calculator

Tips: Enter mass in kilograms and velocity in meters per second. Both values must be positive (mass > 0, velocity ≥ 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between kinetic and potential energy?
A: Kinetic energy is energy of motion, while potential energy is stored energy based on position or configuration.

Q2: Can kinetic energy be negative?
A: No, kinetic energy is always non-negative since both mass and the square of velocity are non-negative.

Q3: 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.

Q4: What is rotational kinetic energy?
A: For rotating objects, kinetic energy depends on moment of inertia and angular velocity: \( KE = \frac{1}{2} I \omega^2 \).

Q5: How is kinetic energy conserved in elastic collisions?
A: In perfectly elastic collisions, both momentum and kinetic energy are conserved.

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