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An object 10.0 cm in front of a convex mirror forms an image 5.0 cm behind the mirror. What is the focal length of the mirror?

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Problem (12.1):
An object 10.0 cm in front of a convex mirror forms an image 5.0 cm behind the mirror. What is the focal length of the mirror?

  1. Identify the given values and the mirror formula.

    Given:
    Object distance, u=10.0u = 10.0 cm (positive for a real object in front of the mirror)
    Image distance, v=−5.0v = -5.0 cm (negative because the image is virtual and formed behind the convex mirror)
    Mirror formula: 1f=1v+1u\frac{1}{f} = \frac{1}{v} + \frac{1}{u}

  2. Substitute the values into

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