1. What is Kinetic Energy?

Definition: Kinetic energy is the energy possessed by an object due to its motion.

Purpose: This calculator determines the kinetic energy of a moving object based on its mass and velocity.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E \) — Kinetic energy (Joules, J)
• \( m \) — Mass of the object (kilograms, kg)
• \( v \) — Velocity of the object (meters per second, m/s)

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

3. Importance of Kinetic Energy Calculation

Details: Understanding kinetic energy is crucial in physics, engineering, vehicle safety, and many mechanical systems.

4. Using the Calculator

Tips: Enter the mass in kilograms and velocity in meters per second. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 1/2 in the formula?
A: The 1/2 factor comes from integrating force over distance in the derivation of kinetic energy from work principles.

Q2: What are typical kinetic energy values?
A: A 1 kg object moving at 1 m/s has 0.5 J of kinetic energy. A car (1000 kg) at 30 m/s (108 km/h) has 450,000 J.

Q3: How does velocity affect energy more than mass?
A: Because velocity is squared, it has a much greater impact on energy than mass (which is linear).

Q4: Can this formula be used for relativistic speeds?
A: No, this is the classical formula. Near light speed, Einstein's relativistic kinetic energy formula must be used.

Q5: What's the relationship between kinetic energy and work?
A: Work done on an object equals its change in kinetic energy (Work-Energy Theorem).