Respuesta :
Answer:
800 W
Explanation:
Power = work / time
P = Fd / t
P = (600 N) (4 m) / (3 s)
P = 800 W
Answer:
800 W
Explanation:
To calculate the power exerted by the man, we first need to calculate the work done by the man to climb the stairs. To do that, we can use the following formula:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Work done}}\\\\W =Fd\\\\\textsf{where:}\\\phantom{ww}\bullet\;\textsf{$W$ is work done measured in joules (J).}\\\phantom{ww}\bullet\;\textsf{$F$ is force measured in newtons (N).}\\\phantom{ww}\bullet\;\textsf{$d$ is distance measured in meters (m).}\end{array}}[/tex]
In this case:
- F = 600 N
- d = 4 m
Substituting the values into the formula we get:
[tex]W=600 \times 4\\\\W=2400\; \rm J[/tex]
Now, we can calculate the power using the following formula:
[tex]\boxed{\begin{array}{l}\underline{\textsf{Power}}\\\\P =\dfrac{W}{t}\\\\\textsf{where:}\\\phantom{ww}\bullet\;\textsf{$P$ is power measured in watts (W).}\\\phantom{ww}\bullet\;\textsf{$W$ is work done measured in joules (J).}\\\phantom{ww}\bullet\;\textsf{$t$ is time measured in seconds (s).}\end{array}}[/tex]
In this case:
- W = 2400 J
- t = 3 s
Substituting the values into the formula we get:
[tex]P=\dfrac{2400}{3}\\\\\\P=800\; \rm W[/tex]
So, the power exerted by the man is:
[tex]\Large\boxed{\boxed{800\; \rm W}}[/tex]