Dimensionele analise – probleme en oplossings

Dimensionele analise – probleme en oplossings

1. Gebaseer op die dimensionele analise, bepaal die volgende fisika-dimensies wat dieselfde dimensies het.

A. werk en krag

B. krag en druk

C. krag en momentum

D. werk en hitte

Bekend:

Dimension of length = dimension of width = dimension of displacement = L

Dimension of time = T

Dimension of mass = M

oplossing:

Dimension of area = dimensie van lengte x dimension of width = [L][L] = [L]2

Dimension of velocity = dimensie van verplasing / dimension of time = [L] / [T] = [L][T]-1

Dimension of acceleration = dimension of velocity / dimension of time = [L][T]-1 / [T] = [L][T]-1[T]-1 = [L][T]-2

Dimension of force = dimension of mass x dimension of acceleration = [M][L][T]-2

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Dimension of work = dimension of force x dimension of displacement = [M][L][T]-2 [L] = [M][L]2[T]-2

Dimension of power = dimension of work / dimension of time = [M][L]2[T]-2 / [T] = [M][L]2[T]-2[T]-1 = [M][L]2[T]-3

Dimensie van druk = dimension of force / dimension of area = [M][L][T]-2 / [L]2 = [M][L][T]-2 [L]-2 = [M] [L]-1[T]-2

Dimensie of momentum = dimension of mass x dimension of velocity = [M][L][T]-1

Dimension of heat = dimension of energy = dimension of work = [M][L]2[T]-2

Die korrekte antwoord is D.

Let wel:

Hitte is energy that moves due to the temperature difference.

Work is the process of energy transfer through the displacement of objects.

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So, the dimension of heat = the dimension of energy = the dimension of work.

2. Two quantities that have the same quantity but have a different physical concept…

A. Force and momentum

B. Energy and force

C. Potential energy and kinetic energy

D. Energy and momentum

oplossing:

Unit of potential energy = unit of kinetiese energie = unit of energy = unit of work.

Although it has the same unit, but the potential energy and the kinetic energy are different types of energy.

Die korrekte antwoord is C.

3. The following quantities that have the same units are…

A. Force and emf

B. Velocity and acceleration

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C. Werk en energie

D. Work and power

oplossing:

Work is the process of energy transfer through the displacement of objects.

Energy is the ability to do work.

Work and energy are two quantities of physics that have the same unit.

Die korrekte antwoord is C.