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Chapter 1: Q10DQ (page 123)

Suppose you chose the fundamental physical quantities to be force, length, and time instead of mass, length, and time. What would be the units of mass in terms of those fundamental quantities?

Short Answer

Expert verified

The unit of mass will be Ns2m.

Step by step solution

01

Newton’s Second law

A body of mass (m) with acceleration (a) due to a net force (F) acting on it whose magnitude can be calculated as follows-

F = ma

02

Define units of each term in terms of new fundamental quantities.

The new fundamental quantities are force, length, and time. Hence the force has fundamental unit N (Newton), and acceleration has unitm/s2 . So, the formula for mass is given as-

m=Fa

Thus, unit of mass is given as-

kg=Nms-2=Ns2m

Therefore, the mass will have a unit of Ns2m.

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