Find the base quantities involved in each of the following derived quantities:
(a) speed
(b) volume
(c) force
(d) work
Difficulty: Medium
(a) Speed:
Speed = $\frac{\time{length}}{\time{time}}$
unit of speed = ms-1
Base quantities involved in speed are metres and second.
(b) Volume:
Volume = length $\times$ width $\times$ height
Volume = m $\times$ m $\times$ m = m3
Base quantity involved in volume is metre.
(c) Force:
F = ma
1N = 1 kg $\times$ 1
1N = 1 kg
(d) Work:
Work done = Force × displacement
W = FS ……… (i)
1J = 1N $\times$ 1 m
1J = 1 kg $\times$ 1 m
1J = 1 kg
Base quantities involved in work are kilogramme, metre, and second.
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