Question

1. which expression represents power?

a. fd
b. mgh
c. $\frac{mv^2}{2}$
d. $\frac{w}{t}$

Explanation:

Step1: Recall Power Formula

Power is defined as the rate of doing work. The formula for power \( P \) is \( P=\frac{W}{t} \), where \( W \) is work and \( t \) is time.

Step2: Analyze Each Option

• Option a: \( fd \) represents work (\( W = Fd \), force times distance), not power.
• Option b: \( mgh \) represents gravitational potential energy (or work done against gravity), not power.
• Option c: \( \frac{mv^{2}}{2} \) represents kinetic energy, not power.
• Option d: \( \frac{W}{t} \) matches the power formula.

Answer:

d. \(\frac{W}{t}\)