Use the mirror and magnification equations and an understanding of sign conventions to solve concave mirror word problems. Many problems require complex algebraic manipulations.
A shiny bauble (ornament) hangs on Mr. H's Christmas tree. The bauble has a radius of 4.38 cm. Matthew looks into the bauble and observes an image of his face which is 1/5th the size of his face. How far from the bauble is Matthew's face?
Object Distance
cm
An object is placed 24.5 cm from the surface of a convex mirror. Its virtual image is located 14.8 cm behind the mirror. Determine the focal length of the convex mirror. Enter a – answer if appropriate.
Focal Length
The focal point of a convex mirror is located 16.6 cm from the mirror surface. An image is formed 6.92 cm from the mirror surface. Give caution to all +/- signs and determine the object distance (in cm).
A convex mirror has a focal length of -32.6 cm. For what object distance will an image be produced that is one-half the size of the object?
A virtual image is formed by a convex mirror having a radius of curvature of -25.2 cm. The image is 1/7th the size of the object. Determine the object distance (in cm).
An ice cream cone is positioned at a location that is 22.8 cm from a convex mirror. The mirror produces an image of the ice cream cone that is 1/3 the size as the cone. Determine the radius of curvature (in cm) of the mirror.
Radius of Curvature
A convex mirror is used on a blind corner. The mirror has a focal length of -4.92 m. A car is located 12.9 m from the mirror. How far (in m) behind the mirror will the image of the car appear to be? (Enter as a positive value.)
Image Distance
m