Question

The dimensional formula of kinetic energy is equal to which of the following?

• A. Force
• B. Work
• C. Pressure
• D. Momentum

Hint:

It's helpful to memorize dimensional formulas of key physical quantities like energy, work, and power for quick problem solving.

Answer 1

The Correct Option is B

Step 1: The formula for kinetic energy is: \[ KE = \frac{1}{2}mv^2 \] where \( m \) = mass and \( v \) = velocity.
Step 2: The dimensional formula of kinetic energy is: \[ [M][L^2][T^{-2}] \]
Step 3: The formula for work is: \[ W = F \cdot d = ma \cdot d \] Its dimensional formula is: \[ [M][L][T^{-2}] \cdot [L] = [M][L^2][T^{-2}] \]
Step 4: Therefore, the dimensional formula of kinetic energy is the same as that of work.