Dimensional Analysis for Formulas

By directly providing the numerical values for physical quantities

By providing a method to check the dimensional consistency of equations (correct)

By determining the uncertainty in measurements

By proving the accuracy of experimental data

The dimensions and units of the physical quantities involved (correct)

The fundamental physical constants involved in the formula

The experimental errors in the measurements

The choice of coordinate system

Calculating the formula for work done using energy conservation principles

Deriving the formula for velocity from basic kinematic equations

Determining the formula for gravitational force using Newton's laws

Deriving the formula for electric field intensity from Coulomb's law (correct)