Niva claimed that an alternative formula for power is P = mv² and the formula of pressure is P = mv/A. Check the validity of the given formulae by the analysis of units.

Question

Accepted Answer

Correct unit of power = kg·m²·s⁻³. Check P = mv²: unit = kg × (m·s⁻¹)² = kg·m²·s⁻². Since kg·m²·s⁻² ≠ kg·m²·s⁻³, this formula is NOT valid. Correct unit of pressure = kg·m⁻¹·s⁻². Check P = mv/A: unit = kg × (m·s⁻¹) / m² = kg·m⁻¹·s⁻¹. Since kg·m⁻¹·s⁻¹ ≠ kg·m⁻¹·s⁻², this formula is also NOT valid.