Kinetic Energy Equations Calculator

Science Physics Formulas

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Problem:

Solve for Velocity

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Solution:

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	Solve for kinetic energy
	Solve for mass
	Solve for velocity

K	=	kinetic energy
m	=	mass
v	=	velocity

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References - Books:

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

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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:

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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.