Question

Which formula can be used to find velocity if kinetic energy and mass are known?

A) v = (square root)1/2(KE)(m)
B) v = (square root)2m/KE
C) v = (square root)KE(m)
D) v = (square root)2KE/m

Answer 1

The correct formula to calculate velocity given mass and kinetic energy is
`D) v = √(2KE/m) by rearranging the classic kinetic energy equation KE = ½ * m * v²`.

Step-by-step explanation:

The formula to find velocity when both kinetic energy (KE) and mass (m) are known is based on the classic equation for kinetic energy, which is
`KE = ½ * m * v²`. To solve for velocity (v), we rearrange the equation to isolate v on one side. This results in v being equal to the square root of 2 times KE divided by m, which is represented by
`v = √(2KE/m).`

The correct formula from the options provided is therefore:

• 
  `D) v = √(2KE/m)`

To illustrate how to use this formula, you would take the known kinetic energy and mass values, plug them into the equation, and then calculate the square root of the resulting number. This will give you the velocity of the object.