If force (in N),length (in m),and time (in s)were considered to be the fundamental quantities,the units of mass would be A)s²/(N · m) B)m · s C)N² · m/s² D)N · s²/m E)m/N

Question

Quizplus · Accepted Answer

The unit of force is N, the unit of length is m and the unit of time is s. Therefore using dimensional analysis, the unit of mass can be derived as follows: 
mass = force x length / time^2
Substituting the respective base units: 
mass = N x m / s^2
mass = N.s / m
Thus, the unit of mass would be N.s/m which is equivalent to N.s^(-1).m^(-1). Therefore, choice D is the correct option.

If Force (In N),length (In M),and Time (In S)were Considered