The writing on the passenger-side mirror of your car says \"Warning! Objects in

Question

The writing on the passenger-side mirror of your car says "Warning! Objects in mirror are closer than they appear" (Figure 1) . 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 1.6-m-tall cyclist on a bicycle is 25 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?

Part B) How far would you have been from the image if the mirror were flat?

Part C) What is the image height?

Part D) What would the image height have been if the mirror were flat?

Explanation / Answer

A) using mirror formula

1/v+1/u = 1/f

1/v + 1/25 = 1/-0.8

v = -0.775 m

distance between image and passanger = 1.2 + 0.775 =1.975 m

B) for flat mirror, image distance = object distance

d = 25+1.2 = 26.2 m

C)magnification, m = hi/ho = -v/u

hi = -(-0.775/25)*1.6

hi = 0.0496 m or 4.96 cm

D) as for flat mirror image height = object height so hi = ho = 1.5m

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