a 5.0 cm object is 12.0 cm from a concave mirror that has a focal length of 24.0 cm. the distance between…

Explanation:

Step1: Identify the mirror - formula

The mirror formula is $\frac{1}{f}=\frac{1}{u}+\frac{1}{v}$, where $f$ is the focal length, $u$ is the object - distance, and $v$ is the image - distance.

Step2: Substitute the given values

Given $f = 24.0\ cm$ and $u=12.0\ cm$. Substitute into the mirror formula: $\frac{1}{24}=\frac{1}{12}+\frac{1}{v}$.

Step3: Solve for $\frac{1}{v}$

$\frac{1}{v}=\frac{1}{24}-\frac{1}{12}=\frac{1 - 2}{24}=-\frac{1}{24}$.

Step4: Find the value of $v$

Taking the reciprocal of both sides, $v=-24\ cm$.

Answer:

$- 24$