Question

which of the statements below, regarding power is true based on what we talked about in class?
the quicker you do the work, the more power.
power is equal to work multiplied by time.
the slower you do the work, the more power,
power is measured using electricity.

Explanation:

To determine the correct statement about power, we recall the formula for power: \( P=\frac{W}{t} \) (Power equals work divided by time).

• For the first option: Since \( P=\frac{W}{t} \), if work \( W \) is constant, a smaller time \( t \) (quicker work) leads to a larger power \( P \). This aligns with the formula.
• The second option is incorrect because the formula is \( P = \frac{W}{t} \), not \( P=W\times t \).
• The third option is incorrect. From \( P=\frac{W}{t} \), a larger time \( t \) (slower work) for the same work \( W \) would result in a smaller power \( P \).
• The fourth option is incorrect. Power is measured in watts (in the SI system), and while electricity involves power, power is a general concept (e.g., mechanical power) and not "measured using electricity."

Answer:

A. The quicker you do the work, the more power.