Question

A worker is thinking about two ways to get a box up 1.2 m onto a loading dock. He can use a force of 250 N to lift it straight up in 3 s or he can use a force of 75 N to push it up a 4-m-long ramp in 10 s. The two methods have different power outputs. What is the lower power output?

Answer 1

The second option has a lower power output. P=30 W

Step-by-step explanation:

Mechanical Power

It is a physical magnitude that measures the rate a work W is done over time t.

`\displaystyle P=(W)/(t)`

Since W=F.d

`\displaystyle P=(F.d)/(t)`

The first option means the worker will lift the box by a distance of 1.2 meters in 3 seconds by applying 250 N of force. That produces a power of

`\displaystyle P=((250). (1.2))/(3)=100\ Watt`

The second option requires the worker applies 75 N of force and travel a distance of 4 meters for 10 seconds, thus the power is

`\displaystyle P=((75). (4))/(10)=30\ Watt`

The second option has a lower power output