How Far is the Second Object from the Convex Mirror?

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To solve the problem of determining the distance of the second object from the convex mirror, the focal length and magnification must be calculated first. The magnification for the first object is established as v/u = 1/2, indicating the image is half the height of the object. For the second object, which is twice the height of the first but produces an image of the same height, the magnification becomes 1/4. By substituting the relationship of the second object's image distance (V') in terms of its object distance (U') into the mirror formula, the distance of the second object from the mirror can be determined. The calculations will lead to the required distance for the second object.
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Homework Statement


An object is located 14 cm in front of a convex mirror, the image being 7 cm behind the mirror. A second object, twice as tall as the first one, is placed in front of the mirror, but at a different location. The image of this second object has the same height as the other image. How far in front of the mirror is the second object located?


I know I need to use the mirror equation... but I am totally LOST!
 
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First of all find the focal length of the convex mirror and magnification. In this problem magnification v/u = 1/2 = I/o. When the When the size of the object doubles keepin image height the same. magnification becomes 1/4.
So V'/U' = 1/4. Write V' in terms of U', substitute in the mirror formula to get U'
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

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