1. What is Kinetic Energy Without Velocity?

This calculator determines kinetic energy using momentum and mass instead of velocity. It's useful when you know an object's momentum but not its velocity.

2. How Does the Calculator Work?

The calculator uses the kinetic energy equation:

Where:

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

Explanation: This formula derives from the standard kinetic energy equation \( KE = \frac{1}{2}mv^2 \) by substituting \( v = \frac{p}{m} \).

3. Importance of Kinetic Energy Calculation

Details: Kinetic energy represents the energy an object possesses due to its motion. This calculation is fundamental in physics, engineering, and various applied sciences.

4. Using the Calculator

Tips: Enter momentum in kg·m/s and mass in kg. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: When would I use this instead of the standard KE formula?
A: Use this when you know momentum but not velocity, particularly in collision problems or quantum mechanics contexts.

Q2: What are typical units for kinetic energy?
A: The SI unit is Joules (J), equal to kg·m²/s². Other units include ergs or electronvolts in specialized contexts.

Q3: Does this work for relativistic speeds?
A: No, this is the classical formula. For relativistic speeds, you need the full relativistic energy equation.

Q4: Can I use this for rotational kinetic energy?
A: No, rotational kinetic energy uses moment of inertia and angular velocity (\( KE = \frac{1}{2}I\omega^2 \)).

Q5: How precise should my inputs be?
A: For most practical purposes, 2-4 significant figures are sufficient, unless working with very precise measurements.