Calculate the speed of an object given its mass and kinetic energy.

Example question:

What is the speed of an object if it has the mass of 3.6 kg and a kinetic energy of 210 J?

Given:

mass: m = 3.6 kg

kinetic energy: Ek = 210 J

Starting formula

Algebra: multiply each side by 2

Algebra: 2's cancel on right

Algebra: divide each side by m

Algebra: m's cancel on right

Algebra: take square root of each side

Algebra: square root of v^2 is v

Algebra: switch left and right sides

Plug in numbers with units

Math: sqrt((2)(210)/3.6) = 10.801....

Final result with significant figures and unit