Solved: Rear-View Mirror. A mirror on the passenger side

Chapter 34, Problem 74P

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QUESTION:

Problem 74P

Rear-View Mirror. A mirror on the passenger side of your car is convex and has a radius of curvature with magnitude 18.0 cm. (a) Another car is behind your car, 9.00 m from the mirror, and this car is viewed in the mirror by your passenger. If this car is 1.5 m tall, what is the height of the image? (b) The mirror has a warning attached that objects viewed in it are closer than they appear. Why is this so?

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QUESTION:

Problem 74P

Rear-View Mirror. A mirror on the passenger side of your car is convex and has a radius of curvature with magnitude 18.0 cm. (a) Another car is behind your car, 9.00 m from the mirror, and this car is viewed in the mirror by your passenger. If this car is 1.5 m tall, what is the height of the image? (b) The mirror has a warning attached that objects viewed in it are closer than they appear. Why is this so?

ANSWER:

Solution 74P

Step 1

a)

The relation between the object and image distance and focal length as,

Rearrange for q.

Here p is the distance of object and q is the distance of the image.

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