Let L represent length, T represent time, and M represent mass. Suppose the physical quantities A, B, and C are related by A = BC, where A has the dimensions L/M, and C has the dimensions L/T.

Question

Then B must have the dimensions:

A. M/L²T

B. T/M

C. L²T/M

D. L²/TM

E. TM/L²

I tried to approach this problem as: a= bc therefore (length/mass) = (?/?)(length/time)

i figured that the answer could possibly be B. time/mass because time would cancel out but i am not sure if i am on the right track

Answer 1

You are correct.

You can manipulate dimensions just like numbers:

A = BC

Therefore

B = A/C = (L/M) / (L/T) = T/M