engineering science

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The spherical side mirror on a car is convex and has a radius of curvature of 25 cm. Another car is following, 20 m behind the mirror. If the height of the car is 1.6 m, how tall is its image?

  • engineering science -

    1/do+1/di=1/f is the equation, solve for di.

    then, having di (remember the sign conventions for convex mirrors),

    M=-di/do=hi/ho

  • engineering science -

    555555

  • engineering science -

    f=-R/2; f=-25/2; f=-12.5

    1/do+1/di=1/f
    1/2000+1/di=1/-12.5
    .0005+1/di=-.08
    1/di=-0.0805
    di=-12.42cm

    1.6*di/do=1.6*2000/-12.42=-0.0099=1 cm

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