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

ID: 2234774 • Letter: T

Question

The writing on the passenger-side mirror of your car says "Warning!Objects are closer than they appear." There is no such warning onthe driver's mirror. Consider a typical convex passenger-sidemirror with a focal length of -80 { m cm}. A 1.5 { m m}-tall cyclist on a bicycle is30 { m m} from the mirror. You are1.2 { m m} from the mirror, andsuppose, for simplicity, that the mirror, you, and the cyclist alllie along a line. 1)How far are you from the image of the cyclist? 2) How far would you have been from the image if the mirror were flat? 3)What is the image height? 4)What would the image height have been if the mirror were flat? I have the first one but I can't get 2-4. Any help is appreciated

Explanation / Answer

1/v+1/u = 1/f 1/v - 1/30 = 100/80 solving we get v = 0.779 m distance between image and wiewer = 1.2+0.779 =1.979 m 2)flat mirro f = infinity v = u = 30m so distance = 30+1.2 = 31.2m c) hi/ho = -v/u hi = 57.76 m d) hi = ho = 1.5m e)