Join IDNLearn.com and start getting the answers you've been searching for. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.
Sagot :
To determine Awanita's power output, let's follow a step-by-step calculation process using the given data.
### Step 1: Understanding the problem
Awanita lifts a box with:
- Force ([tex]\( F \)[/tex]) = 20 Newtons (N)
- Height ([tex]\( h \)[/tex]) = 200 centimeters (cm)
- Time ([tex]\( t \)[/tex]) = 5 seconds (s)
### Step 2: Convert height to meters
Since the SI unit for height in these calculations is meters (m), we need to convert the height from centimeters to meters:
[tex]\[ 200 \, \text{cm} = 2 \, \text{m} \][/tex]
### Step 3: Calculate Work Done
Work done ([tex]\( W \)[/tex]) can be calculated using the formula:
[tex]\[ W = F \times d \][/tex]
Here, [tex]\( d \)[/tex] is the distance in meters.
[tex]\[ W = 20 \, \text{N} \times 2 \, \text{m} = 40 \, \text{Joules (J)} \][/tex]
### Step 4: Calculate Power Output
Power output ([tex]\( P \)[/tex]) is calculated using the formula:
[tex]\[ P = \frac{W}{t} \][/tex]
Using the work done and the time given:
[tex]\[ P = \frac{40 \, \text{J}}{5 \, \text{s}} = 8 \, \text{Watts (W)} \][/tex]
### Conclusion
Awanita's power output is:
[tex]\[ 8 \, \text{W} \][/tex]
So, the correct answer is:
[tex]\[ \boxed{8 \, \text{W}} \][/tex]
### Step 1: Understanding the problem
Awanita lifts a box with:
- Force ([tex]\( F \)[/tex]) = 20 Newtons (N)
- Height ([tex]\( h \)[/tex]) = 200 centimeters (cm)
- Time ([tex]\( t \)[/tex]) = 5 seconds (s)
### Step 2: Convert height to meters
Since the SI unit for height in these calculations is meters (m), we need to convert the height from centimeters to meters:
[tex]\[ 200 \, \text{cm} = 2 \, \text{m} \][/tex]
### Step 3: Calculate Work Done
Work done ([tex]\( W \)[/tex]) can be calculated using the formula:
[tex]\[ W = F \times d \][/tex]
Here, [tex]\( d \)[/tex] is the distance in meters.
[tex]\[ W = 20 \, \text{N} \times 2 \, \text{m} = 40 \, \text{Joules (J)} \][/tex]
### Step 4: Calculate Power Output
Power output ([tex]\( P \)[/tex]) is calculated using the formula:
[tex]\[ P = \frac{W}{t} \][/tex]
Using the work done and the time given:
[tex]\[ P = \frac{40 \, \text{J}}{5 \, \text{s}} = 8 \, \text{Watts (W)} \][/tex]
### Conclusion
Awanita's power output is:
[tex]\[ 8 \, \text{W} \][/tex]
So, the correct answer is:
[tex]\[ \boxed{8 \, \text{W}} \][/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.