We are given the following information
Given:
Weight of the student = 465 N
Height of stairs = 3.1 m
Time = 4 second
We are asked to find the power that it takes for the student to climp up the stairs.
Recall that the power is the rate of doing work.
Formula:
[tex]P=\frac{W}{t}[/tex]
Where W is the work done in climbing up the stairs and is given by
[tex]W=m\cdot g\cdot h[/tex]
Where mg is the weight of the student and h is the height of the stairs.
Substitute:
[tex]P=\frac{W}{t}=\frac{m\cdot g\cdot h}{t}[/tex]
Solve:
[tex]P=\frac{m\cdot g\cdot h}{t}=\frac{465\cdot3.1}{4}=360.375\; W[/tex]
Therefore, the power is 360.375 watts
