BioCore
Homework Statement
Consider a Rocket in space, far removed from external gravitational influences, and suppose the engine starts up. As long as the engines are running, its instantaneous velocity v is a function of its mass. V is given by:
V = A + B log(D/m)
A, B, D are physical quantities, find the dimensions of A, B and D.
Homework Equations
V = A + B log(D/m)
The Attempt at a Solution
From here I will refer to dimensions as such: [], ex. [V] dimensions of velocity.
[V] = L/T
thus [A] = L/T
I need to still find the and [D]. I am not entirely sure here of how to approach. But would the dimensions of log be nothing, in other words [D] = M or mass.
and thus = L/T as well. Or it this a stupid assumption to make?
Thank you for the help.