Which of the following are SI units of Young's modulus? (There could be more than one correct choice. ) A)N/m ∙ s² B)kg/m² C)kg ∙ m/s² D)kg/m ∙ s² E)kg ∙ m²/s²

Question

Quizplus · Accepted Answer

Young's modulus is defined as stress divided by strain, which has units of force per unit area (N/m^2). Rearranging the equation to solve for stress, we get stress = Young's modulus x strain. Strain is dimensionless, so the units of Young's modulus must be force per unit area divided by strain, which is the same as (force/length^2) / (length/length) = force/length^2 = N/m^2 = kg/m/s^2. Therefore, the correct units for Young's modulus are kg/m/s^2 or equivalently kg/m/s^2. Choice D is the only option with units of kg/m/s^2.

Which of the Following Are SI Units of Young's Modulus