Kinetic Energy Equations Calculator

Science Physics Formulas

Solving For Velocity

Velocity

Inputs:

kinetic energy (K)
mass (m)
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Conversions:

kinetic energy (K)
= 0
= 0
joule
mass (m)
= 0
= 0
kilogram

Solution:

velocity (v)
= NOT CALCULATED

Other Units:


Change Equation
Select to solve for a different unknown
kinetic energySolve for kinetic energy
massSolve for mass
velocitySolve for velocity
Where
K=kinetic energy
m=mass
v=velocity

References - Books:

Tipler, Paul A.. 1995. Physics For Scientists and Engineers. Worth Publishers. 3rd ed.


How to solve for velocity in the kinetic energy equation?

We can rearrange the formula by isolating the velocity term to solve for the kinetic energy equation's velocity. Here are the steps:
  • Start with the kinetic energy equation: K.E. = 0.5 * m * v^2.
  • Divide both sides of the equation by 0.5 * m to get v alone: v = sqrt(2 * K.E. / m).
  • Calculate the kinetic energy value and mass value of the object you are working with. Ensure they are in the correct units.
  • Substitute the values into the rearranged equation: v = sqrt(2 * K.E. / m).
  • Simplify the equation using arithmetic operations.
  • Calculate the final result for velocity.

Example

For example, an object with a mass of 5 kilograms has a kinetic energy of 250 joules. To solve for the velocity using the kinetic energy equation, we can do the following:
Given:
K.E. = 250 J
m = 5 kg
Using the rearranged equation: v = sqrt(2 * K.E. / m)
Substituting the given values:
v = sqrt(2 * 250 J / 5 kg)
Simplifying:
v = sqrt(500 J / 5 kg)
v = sqrt(100 m^2/s^2)
v = 10 m/s
Therefore, the velocity of the object is 10 meters per second.
In this example, we rearranged the kinetic energy equation to get the velocity alone and then substituted the given values to find the answer.
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