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Mass Formula from Kinetic Energy:
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The mass formula derived from kinetic energy allows you to calculate an object's mass when you know its kinetic energy and velocity. This is derived from the standard kinetic energy formula: \( KE = \frac{1}{2}mv^2 \).
The calculator uses the rearranged kinetic energy formula:
Where:
Explanation: This formula rearranges the classical kinetic energy equation to solve for mass instead of energy.
Details: Calculating mass from kinetic energy is useful in physics problems, engineering applications, and situations where direct mass measurement is difficult but energy and velocity can be determined.
Tips: Enter kinetic energy in joules, velocity in meters per second. Both values must be positive numbers greater than zero for accurate calculation.
Q1: What is kinetic energy?
A: Kinetic energy is the energy an object possesses due to its motion, calculated as \( \frac{1}{2}mv^2 \).
Q2: What units should I use for this calculation?
A: Use joules (J) for energy, meters per second (m/s) for velocity, and kilograms (kg) for mass to maintain SI unit consistency.
Q3: Can this formula be used for relativistic speeds?
A: No, this formula uses classical mechanics and is not accurate for objects moving at significant fractions of the speed of light.
Q4: What if I have the velocity in km/h instead of m/s?
A: Convert km/h to m/s by multiplying by 0.2778 before using the calculator.
Q5: Is mass always positive in this calculation?
A: Yes, since both kinetic energy and velocity squared are always positive, the calculated mass will always be positive.