Welcome back — missed you this week. The dimension of energy can be derived from its formula. One common formula for kinetic energy is $KE = \frac{1}{2}mv^2$. Step 1: Identify the formula for energy. We will use the kinetic energy formula: $KE = \frac{1}{2}mv^2$. Step 2: Determine the dimensions of each variable. Mass ($m$) has dimensions of $[M]$. Velocity ($v$) has dimensions of $[L][T]^{-1}$ (length per time). Step 3: Substitute the dimensions into the formula. The constant $\frac{1}{2}$ is dimensionless. So, the dimensions of KE are $[M] \times ([L][T]^{-1})^2$. Step 4: Simplify the expression. $([L][T]^{-1})^2 = [L]^2[T]^{-2}$. Therefore, the dimensions of energy are $[M][L]^2[T]^{-2}$. $$ [Energy] = [M][L]^2[T]^{-2} $$ The dimension of energy is $[M][L]^2[T]^{-2]$. Send me the next one 📸