C Exercise 23.34 A convex mirror is on the exterior of the passenger side of man

Question

C Exercise 23.34 A convex mirror is on the exterior of the passenger side of many trucks (see the figure(Figure 1)). If the focal length of such a mirror is -40.0 cm, Part A what will be the location of the image of a car that is 2.0m high and 100m behind the truck mirror? Express your answer using three significant figures. di1 = _____________ cm Part B what will be the height of the image of a car that is 20m high and 100m behind the truck mirror? Express your answer using two significant figures. hi1 = ______________ cm

Explanation / Answer

100m = 10000 cm

h = 2 m = 200

1/p + 1/q = 1/f

1/q = 1/f - 1/p = 1/-40 - 1/(100*100)

q = -39.84 cm

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m = -q/p = 39.84 / 10000 = 3.984 * 10-3

hf = m hi = 3.984 * 10-3 * (2 * 100 cm)

= 0.7968 cm

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