Question
How is force related to power? (1 point)
Force divided by velocity is power.
Power divided by velocity is force.
Power times velocity is force.
Power times force is velocity.
Force divided by velocity is power.
Power divided by velocity is force.
Power times velocity is force.
Power times force is velocity.
Answers
GPT-4o mini
The correct relationship is: **Power divided by velocity is force.**
In mathematical terms, power (P) is defined as the work done (W) over time (t), and work is the product of force (F) and displacement (d). Therefore, power can also be related to force and velocity (v) using the equation:
\[ P = F \cdot v \]
Rearranging this gives:
\[ F = \frac{P}{v} \]
So, force is equal to power divided by velocity.
In mathematical terms, power (P) is defined as the work done (W) over time (t), and work is the product of force (F) and displacement (d). Therefore, power can also be related to force and velocity (v) using the equation:
\[ P = F \cdot v \]
Rearranging this gives:
\[ F = \frac{P}{v} \]
So, force is equal to power divided by velocity.