Rearranging change in kinetic energy for mass

[Marts12]

Homework Statement

I need to rearrange the change in kinetic energy equation for mass

Homework Equations

Change in Kinetic energy = 0.5mv^2-0.5mu^2

The Attempt at a Solution

I factorised the right hand side to give:

Change in kinetic energy = m(0.5v^2-0.5u^2)

Then:

m = Change in kinetic energy/(0.5v^2-0.5u^2)

Is this correct, any help would be greatly appreciated.

 

[BvU]

Yes. But it would be better if you posted a more complete description of the exercise you are working on ...

 

[HallsofIvy]

Notice that you can factor out the "0.5" in both terms: $0.5v^2- 0.5u^2= 0.5(v^2- u^2)$ and, of course, that "0.5" in the denominator is the same as "2" in the numerator: $m= \frac{2 E_k}{v^2- u^2}$ where "E_k" is the kinetic energy. It's the same thing, just, perhaps, a little easier to read.