Dimensions of momentum

Question

Dimensions of momentum

Asked on April 25, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

Accepted Answer · 2026-04-25T08:30:49.317Z

Hey Adeyemi, good to see you again. Momentum ($p$) is defined as the product of an object's mass ($m$) and its velocity ($v$). $$ p = m \times v $$ Mass has dimensions of $[M]$ (mass). Velocity has dimensions of $[L][T]^{-1}$ (length per unit time). Therefore, the dimensions of momentum are: $$ [p] = [m] \times [v] = [M] \times [L][T]^{-1} = [M][L][T]^{-1} $$ The dimensions of momentum are $[M][L][T]^{-1}$. Send me the next one 📸

Accepted Answer · 2026-04-25T08:30:49.317Z

Hey Adeyemi, good to see you again. Momentum ($p$) is defined as the product of an object's mass ($m$) and its velocity ($v$). $$ p = m \times v $$ Mass has dimensions of $[M]$ (mass). Velocity has dimensions of $[L][T]^{-1}$ (length per unit time). Therefore, the dimensions of momentum are: $$ [p] = [m] \times [v] = [M] \times [L][T]^{-1} = [M][L][T]^{-1} $$ The dimensions of momentum are $[M][L][T]^{-1}$. Send me the next one 📸

Dimensions of momentum