The side mirrors on cars are convex mirrors. If the side mirror on the driver side of your car has a focal length with a magnitude of 5.40 m

Question

The side mirrors on cars are convex mirrors. If the side mirror on the driver side of your car has a focal length with a magnitude of 5.40 m and a truck is at a distance of 3.00 m from the mirror, determine the following.

Required:
a. Image distance of the truck (Include the appropriate positive or negative sign.)
b. Magnification for this object distance (Include the appropriate positive or negative sign.)

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Thiên Hương 3 years 2021-08-23T04:27:29+00:00 1 Answers 0 views 0

Answers ( )

  1. hongcuc2
    0
    2021-08-23T04:28:39+00:00
    Reply

    Answer:

    a) -1.93m

    b) +0.643

    Explanation:

    Image distance and focal length of a convex mirror is negative.

    a) Using the mirror formula to determine the image distance;

    \frac{1}{f} = \frac{1}{u} +\frac{1}{v}

    f = focal length of the mirror = -5.40m

    u = object distance from the mirror = 3.00m

    v = image distance from the mirror

    \frac{1}{-5.40} = \frac{1}{3} + \frac{1}{v}

    \frac{1}{v} = \frac{-1}{5.4} - \frac{1}{3}

    \frac{1}{v} = \frac{-1}{5.4} - \frac{1}{3}\\\frac{1}{v} = -0.1852 -0.3333\\\frac{1}{v} = - 0.5185\\v = \frac{-1}{0.5185} \\v = -1.93m

    b) Magnification = image distance/object distance

    Magnification = 1.93/3

    Magnification = +0.643

    Note that we do not use the negative value of the image distance to calculate the magnification of the object

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