## Moving a Light Fixture: A Physics ProblemYou are trying to move a light fixture into an apartment. There are hooks in the elevator so you hang the fixture on a hook with a chain. You don't want the fixture to touch the walls, so you attach a rope to the side that pulls horizontally as shown, keeping the fixture stationary with respect to the elevator. Note that the angle \( \theta = 35^\circ \).### Diagram ExplanationThe diagram illustrates an elevator with a chain and rope setup. The chain is attached to the fixture and the elevator's ceiling, forming an angle \( \theta \). The rope is attached horizontally to prevent the fixture from touching the walls.### Tension Force in the ChainAs the elevator ascends vertically, the tension force in the chain from the elevator on the fixture, as a function of the vertical position of the elevator, \( y \), is given by:\[ F_c(y) = F_0 e^{-y/y_1} \]where \( F_0 = 108 \, \text{N} \) and \( y_1 = 6.5 \, \text{m} \).### Work From Chain**Task:** Using the fixture as your system, if the elevator goes from \( y = 0 \) to \( y = 5.85 \, \text{m} \), what is the work done by the tension force in the chain on the fixture?- [Reminder About Work](#)- [Make Sure to Integrate!](#)\[ W_{cf} = \text{[Input Box]} \]### Tension Force in the RopeThe tension force in the horizontal rope as a function of \( y \) is\[ F_H(y) = F_1 e^{-y/y_1} \]where \( F_1 = 61 \, \text{N} \) and \( y_1 = 6.5 \, \text{m} \).### Work From Rope**Task:** What is the work done by the tension in the rope on the fixture as the elevator moves from \( y = 0 \) to \( y = 5.85 \, \text{m} \)?- [Remember the Definition of Work](#)\[ W_{rf} = \text{[Input Box]} \]

Answered: Image /qna-images/answer/c435bfa8-7e56-41d2-b637-c6fe81c87f1e.jpg

You are trying to move a light fixture into an apartment. There are hooks in the elevator so you hang the fixture on a hook with a chain. You don't want the fixture to touch the walls, so you attach a rope to the side that p horizontally as shown, keeping the fixture stationary with respect to the elevator. Note 0 = 35°.

You are trying to move a light fixture into an apartment. There are hooks in the elevator so you hang the fixture on a hook with a chain. You don't want the fixture to touch the walls, so you attach a rope to the side that p horizontally as shown, keeping the fixture stationary with respect to the elevator. Note 0 = 35°.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

## Moving a Light Fixture: A Physics Problem

You are trying to move a light fixture into an apartment. There are hooks in the elevator so you hang the fixture on a hook with a chain. You don't want the fixture to touch the walls, so you attach a rope to the side that pulls horizontally as shown, keeping the fixture stationary with respect to the elevator. Note that the angle \( \theta = 35^\circ \).

### Diagram Explanation

The diagram illustrates an elevator with a chain and rope setup. The chain is attached to the fixture and the elevator's ceiling, forming an angle \( \theta \). The rope is attached horizontally to prevent the fixture from touching the walls.

### Tension Force in the Chain

As the elevator ascends vertically, the tension force in the chain from the elevator on the fixture, as a function of the vertical position of the elevator, \( y \), is given by:

\[ F_c(y) = F_0 e^{-y/y_1} \]

where \( F_0 = 108 \, \text{N} \) and \( y_1 = 6.5 \, \text{m} \).

### Work From Chain

**Task:**
Using the fixture as your system, if the elevator goes from \( y = 0 \) to \( y = 5.85 \, \text{m} \), what is the work done by the tension force in the chain on the fixture?

- [Reminder About Work](#)
- [Make Sure to Integrate!](#)

\[ W_{cf} = \text{[Input Box]} \]

### Tension Force in the Rope

The tension force in the horizontal rope as a function of \( y \) is

\[ F_H(y) = F_1 e^{-y/y_1} \]

where \( F_1 = 61 \, \text{N} \) and \( y_1 = 6.5 \, \text{m} \).

### Work From Rope

**Task:**
What is the work done by the tension in the rope on the fixture as the elevator moves from \( y = 0 \) to \( y = 5.85 \, \text{m} \)?

- [Remember the Definition of Work](#)

\[ W_{rf} = \text{[Input Box]} \]

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