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Express the following derived units in t...

Express the following derived units in terms of the fundamental units of length, mass and time.

A

speed

B

area

C

acceleration

D

density

Text Solution

AI Generated Solution

To express the derived units in terms of the fundamental units of length, mass, and time, we will analyze each derived unit step by step. ### Step-by-Step Solution: 1. **Speed**: - Speed is defined as the distance traveled per unit time. - Mathematically, Speed = Distance / Time. - Distance is measured in meters (m), which is a unit of length. ...
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We know that every derived quantity can be written in terms of some of the fundamental quantities. For example, volume = ("length")^(3), "speed" = ("lenght")/("time") . Using the definitions of the following quanitities, express force in terms of fundamental quantities. Represent mass as [M], length as [L] and time as[T]. (i) Displacement = shortest distance betweenj the inital and final positions. (ii) Velocity = ("displacement")/("time") (iii) Momentum = "mass" xx "velocity" brgt (iv) Force = ("momentum")/("time")