The sideview mirrors on cars are convex mirrors. Let's say the mirror on the driver's side of your car has a focal length with a magnitude of 6.90 m and a truck is at a distance of 4.00 m from the mirror. The truck is the object for the convex sideview mirror. Determine the following:

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.)

a)  i = -2.53 m , b)  m = 0.63

Explanation:

a) For this exercise we use the constructor equation

     1 / f = 1 / o + 1 / i

Where f is the focal length, o the distance to the object and i the distance to the image

In this exercise they give the focal length f = -6.90 m, the negative sign is a convex mirror, and the distance to the object is o = 4.00 m

 Let's find the distance to the image

         1 / i = 1 / f - 1 / o

         1 / i = 1 / -6.90 - 1/4

          1 / i = -0.1449-0.25 = 0.3949

          i = -2.53 m

.b) the expression for the magnification is

          m = - i / o

          m = - (-2.53) / 4

          m = 0.63

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