The writing on your passenger side mirror on our car says, \"Warning, objects in

Question

The writing on your passenger side mirror on our car says, "Warning, objects in mirror are closer than they appear." There is no warning on the driver side mirror. Consider a typical convex mrror is used as the passenger side mirror with a focal length of -80cm. A 1.5 m tall cyclist on a bicycle is 25 m from the mirror, and you are 180 cm from the mirror, and assume that the mirror, you and the cyclist all lie along a line.

A) How far are you from the image of the cyclist?

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

C) What is the height of the image?

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

E) Why is there a label on the passenger-side mirror?

Explanation / Answer

a) 1/v+1/u = 1/f

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

v = -0.8264 m

distance between image and wiewer = 1.8 + 0.8264 =2.626 m

b) if flat mirror

d = 25+1.8 = 26.8 m

c) m = hi/ho = -v/u

hi = -(-0.8264/25)*1.5

hi = 0.04958 m

hi = 4.958 cm

d) flat mirror

hi = ho = 1.5m

e) the label is there on the mrror beacuse the covex mirror always forms the virtual image and the distance is always less than that of the distance of the object. so in the mirro the image appears closer than the actual disance of the object.

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