Question

Which of the following mathematical equation is correct with respect to the concept of power?

• A. Power = Time/Work done
• B. Power = Force x Distance
• C. Power = Velocity x Work done
• D. Power = Force x Velocity

Hint:

Remember: Power is the rate of doing work and can also be expressed as the product of force and velocity in the context of mechanical work.

Answer 1

The Correct Option is D

Step 1: Understanding Power
Power is defined as the rate at which work is done or energy is transferred. Mathematically, power is the amount of work done per unit time, but it can also be related to force and velocity.
Step 2: The Correct Formula for Power
The formula for power in terms of force and velocity is given by:
\[ \text{Power} = \text{Force} \times \text{Velocity} \] This is because work done (\(W\)) is equal to force (\(F\)) multiplied by distance (\(d\)), and power is the rate of doing work, i.e., \( \text{Power} = \frac{\text{Work}}{\text{Time}} = \text{Force} \times \text{Velocity} \), where velocity is the distance per unit time.
Step 3: Final Answer
Thus, the correct mathematical equation with respect to the concept of power is (D) Power = Force x Velocity.