Mirror Equation Video Lessons

Concept

###### FREE Expert Solution

Mirror equation:
$\overline{)\frac{\mathbf{1}}{{\mathbit{s}}_{\mathbit{o}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbit{s}}_{\mathbit{i}}}{\mathbf{=}}\frac{\mathbf{1}}{\mathbit{f}}}$

Magnification:

$\overline{){\mathbf{m}}{\mathbf{=}}\frac{{\mathbf{h}}_{\mathbf{i}}}{{\mathbf{h}}_{\mathbf{o}}}{\mathbf{=}}{\mathbf{-}}\frac{{\mathbf{s}}_{\mathbf{i}}}{{\mathbf{s}}_{\mathbf{o}}}}$

###### Problem Details

The writing on the passenger-side mirror of your car says "Warning! Objects are closer than they appear." There is no such warning on the driver's mirror. Consider a typical convex passenger-side mirror with a focal length of -80 cm. A 1.5 m-tall cyclist on a bicycle is 24 m from the mirror. You are 1.2 m from the mirror, and suppose, for simplicity, that the mirror, you, and the cyclist all lie along a line.

Part A. How far are you from the image of the cyclist? Express your answer using two significant figures.

Part B. How far would you have been from the image if the mirror were flat? Express your answer using two significant figures.

Part C. What is the image height? Express your answer using two significant figures.

Part D. What would the image height have been if the mirror were flat? Express your answer using two significant figures.

Part E. What is the angular size of the image of the cyclist? Express your answer using two significant figures.

Part F. What would the angular size of the cyclist's image have been if the mirror were flat? Express your answer using two significant figures.