Question

Max `KE` = `8.189` `J` = `½ * 7.8` `kg * v^²`?

How do you solve for v?

Answer 1

`v = 1.449` `ms^-1`

The approach is just like solving any other equation: do the same things to each side until you have the pronumeral you want alone as the subject.

Explanation:

You have the equation:

`1/2 * 7.8 * v^2 = 8.198`

Multiply both sides by 2:

`7.8 * v^2 = 2 * 8.198 = 16.396`

Divide both sides by 7.8:

`v^2 = 16.396/7.8 = 2.102`

Take the square root of both sides:

`v = sqrt(2.102) = 1.449` `ms^-1`