Question

2. Calculate the power it takes for a 465 N student to climb up3.1 m stairs in 4 seconds. (Find work first!)GivenFormulaSubstituteSolve

Answer 1

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:

`P=(W)/(t)`

Where W is the work done in climbing up the stairs and is given by

`W=m\cdot g\cdot h`

Where mg is the weight of the student and h is the height of the stairs.

Substitute:

`P=(W)/(t)=(m\cdot g\cdot h)/(t)`

Solve:

`P=(m\cdot g\cdot h)/(t)=(465\cdot3.1)/(4)=360.375\; W`

Therefore, the power is 360.375 watts