1. What is Kinetic Energy?

Kinetic energy is the energy possessed by an object due to its motion. It depends on both the mass of the object and its velocity. The formula KE = p²/(2m) relates kinetic energy to momentum (p) and mass (m).

2. How Does the Calculator Work?

The calculator uses the kinetic energy formula:

Where:

• \( KE \) — Kinetic Energy (Joules)
• \( p \) — Momentum (kg·m/s)
• \( m \) — Mass (kg)

Explanation: This formula calculates the kinetic energy of an object when you know its momentum and mass, without needing to know the velocity directly.

3. Importance of Kinetic Energy Calculation

Details: Kinetic energy calculations are essential in physics, engineering, and various applications including vehicle safety design, sports science, and mechanical systems analysis.

4. Using the Calculator

Tips: Enter momentum in kg·m/s and mass in kg. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between kinetic energy and momentum?
A: Kinetic energy is proportional to the square of momentum and inversely proportional to mass (KE = p²/2m).

Q2: What are typical units for kinetic energy?
A: Kinetic energy is measured in Joules (J) in the SI system, where 1 J = 1 kg·m²/s².

Q3: Can kinetic energy be negative?
A: No, kinetic energy is always a positive quantity or zero (for stationary objects).

Q4: How does mass affect kinetic energy?
A: For the same momentum, objects with greater mass have less kinetic energy, and objects with less mass have more kinetic energy.

Q5: What's the difference between this formula and KE = ½mv²?
A: Both formulas calculate kinetic energy. KE = p²/2m is useful when you know momentum, while KE = ½mv² is used when you know velocity.