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

Question

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 -80cm . A 1.5m -tall cyclist on a bicycle is 22m from the mirror. You are 1.4m 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.

art 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?

Part D

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

Part E

What is the angular size of the image of the cyclist?

Part F

What would the angular size of the cyclist's image have been if the mirror were flat?

Part G

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

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)let s' be position of the image.
we have
1/s' + 1/s = 1/f
where f = -80e-2(m)
s=30
so s'=-0.78(m)
-----
so distance
-.78+1 = 1.78(m)

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