What is dimensional analysis and how is it used?
When one is faced with a problem requiring derivation of an equation, they might be asked to use dimensional analysis. This is a concept that involves analyzing the units of known quantities (usually it is easy to work in SI, one could work out these base quantities like mass in kg, distance in m, time in s, etc. by using more basic known equations) using the fact that any physically meaningful equation has the same dimensions (units, factors) on the left and the right side.
CI
Related Physics A Level answers
All answers ▸How does conservation of momentum work when at least one of the bodies in the problem changes mass?
A 80kg man is hanging from two 1.5m ropes that lie at 60 degrees from the horizontal. What is the tension in each rope required to prevent the man from dropping?
Two cars start at point A. Car 1 moves in a direction at 5 m/s. After 10 seconds car 2 accelerates in the same direction as car 1 at 2m/s^2. At what time after car 1 starts moving and distance from A does car 2 pass car 1?
Electrons moving in a beam have the same de Broglie wavelength as protons moving in a separate beam. The proton beam moves at a speed of 3.1 x 10^4 m/s. What is the speed of the electrons?