(Solved): (16\%) Problem 6: An "infinity mirror" consists of two parallel plane mirrors facing one another. I ...

(16\%) Problem 6: An "infinity mirror" consists of two parallel plane mirrors facing one another. In this case, the mirrors are $$5\mathrm{cm}$$ apart (one on the left and one on the right), and a penny (parallel to the mirrors) is positioned $$1.5\mathrm{cm}$$ from the left mirror. Let's find the first four images of the quarter created by this mirror system. Well set up a coordinate system so that the left mirror is at the origin and the right mirror is at $$5\mathrm{cm}$$ (left of the left mirror is the negative direction). A 25\% Part (a) What is the position of the image of the penny in the left mirror? (Answer in $$\mathrm{cm}$$, don't forget $$0\mathrm{cm}$$ is at the left mirrot and $$5\mathrm{cm}$$ is at the right mirror.) 4 $$25\%$$ Part (b) What is the position of the image of the penny in the right mirror? (Aaswer in $$\mathrm{cm}$$.) 4 25\% Part (c) What is the position of the image in the left mirror of the image of the penny from the right mirror? (Answer in cm) A 25\% Part (d) What is the position of the image in the right mirror of the image of the penny from the left mirror? (Aaswer in cm) Image in right mirrot of inage in left mirror w Grade Summary Deductions $$0\mathrm{P}$$ Preential $$100\%$$