Answered

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Pls help me Extra points
Represent each of the following units as a combination of primitive
dimensions where M=mass, L=length, T=time

Kilometer

Quart

Pascal

Watt

Newton

Horsepower

Sagot :

mistressofdark

Kilometer = 1000m

Quart = 0.000946m³

Force = mass × acceleration

=> F = ma

Putting units:

Newton = kg.m/s² or kg.m.s^-2 _____(1)

Pressure = force/area

Putting units:

Pascal = Newton/m²

=> Pascal = kg.m.s^-2.m² [from (1)]

=> Pascal = kg.m^-1.s^-2

Work = force × displacement

=> W = Fs

Putting units:

Joule = Newton.m

=> Joule = kg.m.s^-2.m [from (1)]

=> Joule = kg.m².s^-2 ______(2)

Power = work/time

Putting units:

Watt = joule/s

=> Watt = kg.m².s^-2/s [from (2)]

=> Watt = kg.m².s^-3 ______(3)

Horsepower = 746 watt

=> Horsepower = 746kg.m².s^-3 [from (3)]

Hope it helps!!

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