Question

lesson 8: power, energy & efficiency

1. a gasoline - powered generator consumes 15 000 j of energy in 5.0 min. how much power did it produce in this time?

Explanation:

Step1: Recall the power formula

The formula for power \( P \) is \( P=\frac{E}{t} \), where \( E \) is energy and \( t \) is time.

Step2: Convert time to seconds

Given \( t = 5.0\space\mathrm{min} \), convert minutes to seconds: \( t=5.0\times60 = 300\space\mathrm{s} \).

Step3: Calculate power

Substitute \( E = 15000\space\mathrm{J} \) and \( t = 300\space\mathrm{s} \) into the formula: \( P=\frac{15000}{300}=50\space\mathrm{W} \).

Answer:

The power produced is \( 50\space\mathrm{watts} \) (or \( 50\space\mathrm{W} \)).