Distance Between Woman and Mirrored Images in Reflection Experiment

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Homework Help Overview

The problem involves two plane mirrors positioned 10 meters apart, with a woman standing 3 meters from one of the mirrors. She observes two distinct images of herself in the reflection. The discussion centers around calculating the distances from the woman to these images.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the setup by drawing the mirrors and the imaginary images. There is an exploration of how to calculate the distances to the images based on the woman's position relative to the mirrors.

Discussion Status

There are differing opinions on the distances to the images, with some participants suggesting calculations leading to 6 meters and 14 meters, while others question the reasoning behind these distances. The conversation reflects an ongoing exploration of the problem without a clear consensus.

Contextual Notes

Participants are considering the implications of the woman's distance from the mirrors and how it affects the perceived distances to the images. There is also mention of assumptions regarding the positioning of the woman and the images in relation to the mirrors.

jsalapide
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two plane mirrors facing each other are 10m apart. A woman stands 3 m from one of the mirrors and looks at the mirror and sees two distinct images. How far are these images from the woman?

this one is a bit confusing.. can somebody knows how to solve it?
 
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jsalapide said:
two plane mirrors facing each other are 10m apart. A woman stands 3 m from one of the mirrors and looks at the mirror and sees two distinct images. How far are these images from the woman?

this one is a bit confusing.. can somebody knows how to solve it?

Draw the mirrors and imaginary images S1' and S2' of the women in each of the mirrors. Also draw an imaginary image of the imaginary image in the other mirror. So you can calculate the distances between the woman and the imaginary imaginary images.
 
I followed what you said..

should the answer be 16 m??
 
No. The answer is 6m and 14m for first and second images.
 
ok, the first image was 6m. but how do you get 14m for the second image?

I assume that the distance of the second image is 14 m if the woman is facing at the mirror 7m away from her. But what if she is facing the mirror which is 3m away from her? could the second image still be 14m?
 
You are right. The second distance is 20m = (14m + 3m) + 3m.
 
ok sir, thanks for the time..
 

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