I have a rather straightforward Physics problem to solve, only I can't for the life of me simplify the answer to what it needs to be. What am I doing wrong?
The answer is in the form and it's a simplification of the information I provided here in the post.
I get as far as
The book plugs in
and simplifies to
Just got to checking the textbook and unfortunately the question was to define in the terms and .
Cancelling out got me an answer with .
if then what is ?
Last edit: Thanks a lot. I see where I made a mistake in expanding. Learned a lot today. Merry Christmas.
v = mw / (m + M) 
mw^2 = mv^2 + Mv^2 + kd^2 
square : v^2 = m^2w^2 / (m + M)^2
rearrange : v^2 = (mw^2 - kd^2) / (m + M)
m^2w^2 / (m + M)^2 = (mw^2 - kd^2) / (m + M)
m^2w^2 / (m + M) = mw^2 - kd^2
m^2w^2 = mw^2(m + M) - kd^2(m + M)
kd^2(m + M) = mw^2(m + M) - m^2w^2
kd^2(m + M) = mw^2(m + M - m)
kd^2(m + M) = mMw^2
d^2 = mMw^2 / (k(m + M))
d = wSQRT[mM / (k(m + M))] ........Merry Xmas!