Finding work of a man running up stairs

[Pao44445]

Homework Statement

During the Powerhouse lab, Jerome runs up the stairs, elevating his 102 kg body a vertical distance of 2.29 meters in a time of 1.32 seconds at a constant speed.

a. Determine the work done by Jerome in climbing the stair case.
b. Determine the power generated by Jerome.
(credit : http://www.physicsclassroom.com/ )

Homework Equations

W=Fdcosθ
P=W/t[/B]

The Attempt at a Solution

well, I got the right answers but I don't get it why I can directly use 102 kg for F=ma in W=Fdcosθ equation to find work and the problem doesn't give me any theta or I miss some concept of work?

 

[haruspex]

W=Fdcosθ

In that equation, what does theta represent in terms of the vectors $\vec F$ and $\vec d$?

 

[Simon Bridge]

The equation is $W=\vec s \cdot \vec F$ for the work done applying force F.
Notice that Jerome runs at constant velocity? Therefore the net force on him is zero.
Therefore your force diagram is incorrect.

 

[Pao44445]

In that equation, what does theta represent in terms of the vectors $\vec F$ and $\vec d$?

An angle between Force and distance?

 

[jbriggs444]

An angle between Force and distance?

With post #3 in mind, what is the magnitude and direction of the force?
What is the magnitude and direction of the distance?

 

[Pao44445]

With post #3 in mind, what is the magnitude and direction of the force?
What is the magnitude and direction of the distance?

I came back reading definition of work again
"Work results when a force acts upon an object to cause a displacement"
F that I must use in this equation is the force that the stairs act on him? (N) and distance has no direction since it is scalar quantity. I am confusing :/ Why I can use 2.29 m for d which it is the height of stair not the displacement of the man(Hypotenuse). I can use energy to solve this but this lesson is about work and I don't want to cheat too

 

[haruspex]

F that I must use in this equation is the force that the stairs act on him?

Yes, and in what direction is that?

distance has no direction since it is scalar quantity

Right, but the definition you quote says displacement, which is a vector.
It is fine to use the displacement along the slope of the stairway,provided you use the right vector for the force and take into account the angle between the two.
Now, you may object that you are not told the slope nor the distance up it of the displacement, but if you just create variables for those and apply a bit of trigonometry you should find they disappear from the equation.