Dimensiounsanalyse - Problemer a Léisungen
1. Based on the dimensional analysis, determine the following physics dimensions that have the same dimensions.
B. power and pressure
C. force and momentum
D. work and heat
Bekannt:
Dimension of length = dimension of width = dimension of displacement = L
Dimension of time = T
Dimension of mass = M
Léisung:
Dimension of area = Dimensioun vun Längt x dimension of width = [L][L] = [L]2
Dimension of velocity = Dimensioun vun Verzweiflung / 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
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
Dimensioun vun Drock = dimension of force / dimension of area = [M][L][T]-2 / [L]2 = [M][L][T]-2 [L]-2 = [M] [L]-1[T]-2
Dimensioun 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
Déi richteg Äntwert ass D.
Opgepasst:
Hëtzt is energy that moves due to the temperature difference.
Work is the process of energy transfer through the displacement of objects.
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
Léisung:
Unit of potential energy = unit of kinetescher 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.
Déi richteg Äntwert ass C.
3. The following quantities that have the same units are…
A. Force and emf
B. Velocity and acceleration
C. Aarbecht an Energie
D. Work and power
Léisung:
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.
Déi richteg Äntwert ass C.
