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Velocity Calculator With Kinetic Energy And Mass

Velocity Formula:

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

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kg

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1. What is the Velocity Formula?

The velocity formula calculates the speed of an object from its kinetic energy and mass. This equation is derived from the kinetic energy formula KE = ½mv², solving for velocity.

2. How Does the Calculator Work?

The calculator uses the velocity formula:

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

Where:

Explanation: This formula rearranges the kinetic energy equation to solve for velocity, showing the direct relationship between kinetic energy and velocity squared.

3. Importance of Velocity Calculation

Details: Calculating velocity from kinetic energy and mass is essential in physics, engineering, and various applications including vehicle safety testing, sports science, and projectile motion analysis.

4. Using the Calculator

Tips: Enter kinetic energy in joules and mass in kilograms. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Use joules for kinetic energy and kilograms for mass to get velocity in meters per second (m/s).

Q2: Can I use different energy units?
A: Yes, but you'll need to convert to joules first. 1 calorie = 4.184 joules, 1 BTU = 1055 joules.

Q3: Does this formula work for relativistic speeds?
A: No, this is the classical formula. For objects approaching the speed of light, you need special relativity equations.

Q4: What if my mass is in grams?
A: Convert grams to kilograms (divide by 1000) before using the calculator.

Q5: Can this calculate kinetic energy from velocity?
A: No, this calculator specifically calculates velocity from kinetic energy and mass. For the reverse calculation, you would use KE = ½mv².

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