Question

An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle?

• A. $\left[ML{T}^{-2}\right]$
• B. $\left[M{L}^2{T}^{-2}\right]$
• C. $\left[L\right]$
• D. $\left[ML{T}^2\right]$

Answer 1

The correct option is A $\left[ML{T}^{-2}\right]$

According to the question, $\text{muscle}\times \text{speed}=\text{power}$

$⟹\text{muscle}=\frac{\text{power}}{\text{speed}}$

So, dimension of muscle $=\frac{\left[M^1{L}^2{T}^{-3}\right]}{\left[L^1{T}^{-1}\right]}$

$=\left[ML{T}^{-2}\right]$

Final answer: (a)