The rate of doing work or transfer of energy.
Explanation
In physics, Power is defined as the time rate at which work is done or energy is transferred. It measures how fast a force can perform work on a system.
- The capacity to do work. is incorrect: The "capacity to do work" is the definition of Energy, not Power.
- The rate of doing work or transfer of energy. is correct: Power is mathematically expressed as \( P = \frac{W}{t} \), where \( W \) is work done and \( t \) is the time taken. It represents the rate of doing work.
- The total work done in a given time. is incorrect: The "total work done in a given time" refers to the quantity of Work or Energy expended, without accounting for the rate at which it was expended.
- The product of force and velocity squared. is incorrect: Power can be expressed as the product of Force and Velocity (\( P = F \cdot v \)), not velocity squared.
Key Takeaway: Power is a scalar quantity representing the rate of energy transfer, measured in Watts (Joules per second).