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An object is placed 8.5 cm in front of a convex spherical mirror of focal length −14.0 cm. What is the image distance? Show all work and include units of measure.

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musiclover10045

Given:

u = 8.5 cm

f = -14.0 cm

v = image distance

Using the mirror formula 1/u + 1/v = 1/f

1/8.5 + 1/v = 1/-14.0

Rewrite to solve for v:

v = (8.5 * -14.0) / (8.5 - (-14.0))

v = -119 / 22.5

v = -5.29 cm  ( round answer as needed.)

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