Respuesta :
#1). Anthony does the same amount of work as Angel, with more power.
#2). Power = (Work)/(Time) = 41,000 J / 500 s = 82 watts .
#3). Power = (Work) / (Time) = 83 J / 3 sec = 27.7 watts
Answer:
For 1: The correct statement is Anthony has more power than Angel.
For 2: The correct answer is 82 Watts.
For 3: The correct answer is 27.7 Watts.
Explanation:
- For 1:
Work done is defined as the product of force and displacement.
Power is defined as the amount of work done in a given time.
[tex]\text{Power}=\frac{\text{Work done}}{\text{Time taken}}[/tex]
As, both the players are carrying same amount of weight and for the same distance, therefore the work done by both the players remains the same.
But the time taken by Anthony is 38 seconds which is less than the Angel whose time was 42 seconds.
As, power is inversely proportional to the time taken, So more the time taken, less will be the power and vice-versa.
Therefore, the correct statement is Anthony has more power than Angel.
- For 2:
Power is defined as the amount of work done in a given time.
[tex]\text{Power}=\frac{\text{Work done}}{\text{Time taken}}[/tex]
We are given:
Work done = 41000 J
Time taken = 500 seconds
Power = ? W
Putting values in above equation, we get:
[tex]\text{Power}=\frac{41000J}{500s}=82Watts[/tex]
Hence, the correct answer is 82 Watts.
- For 3:
Power is defined as the amount of work done in a given time.
[tex]\text{Power}=\frac{\text{Work done}}{\text{Time taken}}[/tex]
We are given:
Work done = 83 J
Time taken = 3 seconds
Power = ? W
Putting values in above equation, we get:
[tex]\text{Power}=\frac{83J}{3s}=27.66Watts\approx 27.7W[/tex]
Hence, the correct answer is 27.7 Watts.
