Question

read each scenario below. then select the answer that best completes each sentence. the power from a car engine is dropdown the power of a bicycle because a car engine does the same amount of work in dropdown time. raul and kalma equally shared a frozen lunch but heated each portion in two different microwaves. kalma’s lunch was warm in one minute while raul’s lunch took two minutes. the power used by raul’s microwave must be dropdown the power used by kalma’s because his microwave took dropdown time to do the same amount of work.

Explanation:

First Scenario (Car and Bicycle)

Step1: Recall Power Formula

Power $P$ is defined as work $W$ done over time $t$, so $P = \frac{W}{t}$.

Step2: Analyze Car vs Bicycle

A car engine does the same work ($W_{car}=W_{bicycle}$) but in less time ($t_{car}

Second Scenario (Raul and Katrina's Microwaves)

Step1: Recall Power Formula

Again, $P = \frac{W}{t}$, where $W$ (heating the lunch) is the same for both.

Step2: Analyze Microwaves

Raul’s microwave took 2 minutes, Katrina’s took 1 minute, so $t_{Raul}>t_{Katrina}$. For the same $W$, if $t$ increases, $P$ decreases. Thus, Raul’s microwave power is less than Katrina’s, as it took more time.

Answer:

greater than; less