An object is placed at a distance of $10\mathrm{cm}$ from a convex mirror of focal length $15\mathrm{cm}$. Find the position of the image formed by the mirror.

In this problem, we apply the mirror formula to a convex mirror. Unlike the chemical reactions discussed in the text which involve the breaking and making of bonds, optical phenomena involve the redirection of light. The sign convention is crucial: for a convex mirror, the focal length is always positive, and the image distance ($v$) for a real object is always positive, resulting in a virtual image.