# Work Question involving Cheese, an elevator, and a cable

## Homework Statement

•••23 In Figure 7-34, a 0.250 kg block of cheese lies on the floor of a 900 kg elevator cab that is being pulled upward by a cable through distance d1 = 2.40 m and then through distance d2 = 10.5 m. (a) Through d1, if the normal force on the block from the floor has constant magnitude FN = 3.00 N, how much work is done on the cab by the force from the cable? (b) Through d2, if the work done on the cab by the (constant) force from the cable is 92.61 kJ, what is the magnitude of FN?

http://www.lowellphysics.org/beta/Textbook%20Resources/Chapter%207.%20Kinetic%20Energy%20and%20Work/Problems/c07x7_11.xform_files/nw0316-n.gif

## Homework Equations

Fn = Sum of forces down - Sum of forces up?
Wft = F*d*cos0

## The Attempt at a Solution

Fn = 900g + .25g - Ft
3 = 900g + .25g
3 - (900 + .25)g = - Ft
Ft = 8828.5

WFt= 8828.5 (2.4) = 21188.4 J

Doc Al
Mentor
Fn = Sum of forces down - Sum of forces up?
Only if the acceleration is zero.

## The Attempt at a Solution

Fn = 900g + .25g - Ft
3 = 900g + .25g
3 - (900 + .25)g = - Ft
Ft = 8828.5

WFt= 8828.5 (2.4) = 21188.4 J
I don't understand what you're doing here. Hint: Find the acceleration of the elevator by analyzing the forces on the cheese.

How does the acceleration help me though?

Find the acceleration of the cheese to use in the elevator system using

F = ma

And then solve for tension that way?

Doc Al
Mentor
Exactly. The cheese and the elevator have the same acceleration.