Question

If the product of muscle and speed equals power, what does muscle stand for?

• A. Force
• B. Power
• C. Energy
• D. Momentum

Answer 1

The correct option is A

Force

Explanation for the correct option-

Option (A) Force

As we know the formula of power.

$\mathit{P}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{W}}{\mathbf{t}}$

Here $P$ is power, $W$ is work done, $t$ is taken time.

As we know $\mathit{W}\mathbf{}\mathbf{=}\mathbf{}\mathit{F}\mathbf{}\mathbf{\times }\mathbf{}\mathit{d}$

Here $F$ is force, $d$ is displacement.

So, $\mathit{W}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{F}\mathbf{}\mathbf{\times }\mathbf{}\mathbf{d}}{\mathbf{t}}$

As we also know $\mathit{S}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{d}}{\mathbf{t}}$

Thus, $\mathit{P}\mathit{o}\mathit{w}\mathit{e}\mathit{r}\mathbf{}\mathbf{=}\mathbf{}\mathit{F}\mathit{o}\mathit{r}\mathit{c}\mathit{e}\mathbf{}\mathbf{\times }\mathbf{}\mathit{S}\mathit{p}\mathit{e}\mathit{e}\mathit{d}$.

Explanation for the incorrect options-

Option (B) Power: It is the product of force and velocity.

Option (C) Energy: Energy or work is the product of power and time.

Option (D) Momentum: It is the product of mass and its velocity.

Hence, muscle stand for Force and option (A) is the correct answer.