SOLUTION: If (M)^A.(L/T)^B.(L)^C where A=-1, B=-2, C=1? But how comes the answer L/mV^2? Any suggestion for this answer (detailed answer.how this V^2). Hint: V is the velocity m/s =[L/T] ?

Algebra ->  Expressions-with-variables -> SOLUTION: If (M)^A.(L/T)^B.(L)^C where A=-1, B=-2, C=1? But how comes the answer L/mV^2? Any suggestion for this answer (detailed answer.how this V^2). Hint: V is the velocity m/s =[L/T] ?       Log On


   

Question 1054534: If (M)^A.(L/T)^B.(L)^C where A=-1, B=-2, C=1?
But how comes the answer L/mV^2? Any suggestion for this answer (detailed answer.how this V^2). Hint: V is the velocity m/s =[L/T] ?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
M%5EA=M%5E%28-1%29=1%2FM
%28L%2FT%29%5EB=%28L%2FT%29%5E%28-2%29=%28T%2FL%29%5E2=T%5E2%2FL%5E2
L%5EC=L%5E1=L
So then putting it all together,
M%5EA%2A%28L%2FT%29%5EB%2AL%5EC=%281%2FM%29%28T%5E2%2FL%5E2%29%28L%29
M%5EA%2A%28L%2FT%29%5EB%2AL%5EC=T%5E2%2F%28ML%29
You also know V=L%2FT and
1%2FV=T%2FL
1%2FV%5E2=T%5E2%2FL%5E2
L%2FV%5E2=T%5E2%2FL
So then substituting,
M%5EA%2A%28L%2FT%29%5EB%2AL%5EC=%281%2FM%29%28T%5E2%2FL%29
M%5EA%2A%28L%2FT%29%5EB%2AL%5EC=%281%2FM%29%28L%2FV%5E2%29
M%5EA%2A%28L%2FT%29%5EB%2AL%5EC=L%2F%28MV%5E2%29