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Muscle times speed equals power. What do...

Muscle times speed equals power. What does muscle stand for?

A

momentum

B

kinetic energy

C

thrust

D

pressure

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AI Generated Solution

The correct Answer is:
To solve the question "Muscle times speed equals power. What does muscle stand for?", we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Equation**: The equation given is "Muscle times speed equals power". This can be mathematically represented as: \[ M \times V = P \] where \( M \) represents muscle, \( V \) is speed, and \( P \) is power. 2. **Identify the Formula for Power**: We know from physics that power can also be defined as the rate of doing work. The formula for power is: \[ P = \frac{dW}{dt} \] where \( W \) is work done. 3. **Relate Work to Force and Displacement**: The work done \( W \) can be expressed in terms of force \( F \) and displacement \( s \): \[ W = F \times s \] Therefore, the power can be rewritten as: \[ P = \frac{d(F \times s)}{dt} \] 4. **Apply the Chain Rule**: Using the chain rule, we can express the power as: \[ P = F \times \frac{ds}{dt} \] where \( \frac{ds}{dt} \) is the velocity \( V \). 5. **Final Power Formula**: Thus, we can simplify this to: \[ P = F \times V \] 6. **Compare with the Given Equation**: Now, we can compare this derived formula \( P = F \times V \) with the original equation \( M \times V = P \). From this comparison, we can see that: \[ M = F \] 7. **Conclusion**: Therefore, we conclude that "muscle" stands for "force". ### Final Answer: Muscle stands for force.
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