1. Intro to Physics Units

Which of the following equations is dimensionally consistent?

In the equation $\frac{Gmm}{x^2}$ = $\frac{m{v}^2}{x}$, where the two $m$'s represent different masses, what are the SI units on each side of the equation?

Which of the following pairs of physical quantities and their dimensions is mismatched?

A force of $15.0n$ is applied to an object. Using the conversions $1\mathrm{slug}=14.59\mathrm{kg}$ and $1\mathrm{ft}=0.3048m$, what is the value of this force in pounds ($\mathrm{lb}$)?

Which of the following equations is dimensionally consistent?

Which of the following terms is correctly matched to its description in the context of dimensional analysis?

Which of the following pairs of terms is mismatched in terms of their dimensional analysis?

Which of the following pairings of physical quantities and their dimensions is correct?

Which of the following patterns is consistent with the principle of dimensional analysis?

In the context of dimensional analysis and measurement, parallel alignment error (also known as parallax error) can occur in how many dimensions?

Are the units of the formula $ma=m{v}^2/2$ dimensionally consistent? Select the single best answer.

Which one of the following pairs is mismatched in terms of dimensional analysis?

A box moving with an initial speed v is accelerated horizontally. If x is measured in [m], v in [m/s], a in [m/s²], t in [s] which of the following equations is correct for solving the distance x?

Which of the following physical quantities can be used to determine the length of the base in a dimensional analysis problem?

Newton's Law of Gravitation describes the attraction force between two masses. The equation is $F=G\frac{m_1{m}_2}{r^2}$, where F is in [ kg·m / s²], m₁ and m₂ are masses in [ kg], and r is the distance in [ m] between them. Determine the units of the Universal Constant G.$$