23. The diagram below shows a door viewed from above. Much to their parent’s annoyance, two kids are fighting over opening/closing the door - do not do this at home! (Note that the door does not have a latch exerting any force on it) The diagram below shows the force that child A is exerting on the door: of magnitude F in the south direction, a distance of L/3 from the hinge. N E S F hinge L/3 Child B decides to exert a force on the edge of the door, as far as possible from the hinge. What is the magnitude and direction of the force that child B must exert if the door does not move? A) Force of magnitude F in the north direction B) Force of magnitude F in the east direction C) Force of magnitude F/3 in the north direction D) Force of magnitude F/3 in the west direction

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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### Door Force Problem

#### Problem Statement

The diagram below shows a door viewed from above. Much to their parents' annoyance, two kids are fighting over opening/closing the door—do not do this at home! (Note that the door does not have a latch exerting any force on it.)

The diagram below shows the force that child A is exerting on the door: of magnitude F in the south direction, a distance of L/3 from the hinge.

#### Diagram Explanation

- **Hinge**: Represented by a circle on the left side of the door.
- **Door**: Illustrated as a horizontal bar.
- **Force (F)**: Applied by child A downwards (south) at a distance L/3 from the hinge.
- The door is shown with its length marked as L, where L/3 is the point from the hinge at which child A applies force.

#### Question

Child B decides to exert a force on the edge of the door, as far as possible from the hinge. What is the magnitude and direction of the force that child B must exert if the door does not move?

#### Options:

A) Force of magnitude F in the north direction  
B) Force of magnitude F in the east direction  
C) Force of magnitude F/3 in the north direction  
D) Force of magnitude F/3 in the west direction
Transcribed Image Text:### Door Force Problem #### Problem Statement The diagram below shows a door viewed from above. Much to their parents' annoyance, two kids are fighting over opening/closing the door—do not do this at home! (Note that the door does not have a latch exerting any force on it.) The diagram below shows the force that child A is exerting on the door: of magnitude F in the south direction, a distance of L/3 from the hinge. #### Diagram Explanation - **Hinge**: Represented by a circle on the left side of the door. - **Door**: Illustrated as a horizontal bar. - **Force (F)**: Applied by child A downwards (south) at a distance L/3 from the hinge. - The door is shown with its length marked as L, where L/3 is the point from the hinge at which child A applies force. #### Question Child B decides to exert a force on the edge of the door, as far as possible from the hinge. What is the magnitude and direction of the force that child B must exert if the door does not move? #### Options: A) Force of magnitude F in the north direction B) Force of magnitude F in the east direction C) Force of magnitude F/3 in the north direction D) Force of magnitude F/3 in the west direction
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