1- Your car has a sideview mirror with a convex spherical mirror on the passenger's side. When you pass a car, you see the car's image in the mirror. The image appears to be 9.0 cm tall, but the car is really 1.5 m tall. a. What is the magnification of the mirror? b. If the car is 3 m from the mirror, what is the focal length of the mirror? C- What is the mirror's radius of curvature? 2. Sitting beside a Christmas tree, you notice your face is reflected in a hanging spherical ornament. The image appears 5.2 cm behind the ornament when you are 17 cm in front of the ornament. a. What is the ornament's focal length and radius of curvature? b. If your eye is 3.2 cm tall, how tall is the image? 3. You see an image of your hand as you reach for a polished brass door- knob. The doorknob has a focal length of 6.3 cm. How far from the doorknob is your hand when the image appears at 5.1 cm behind the doorknob? What is the magnification of the image? 4. As you turn the knob of a faucet to draw bath water, you see your re- flection in the water spout. The focal length of the spout is ~33 cm. How far away from the spout are you if your image appears to be 16.1 cm behind the spout? What is the magnification of the image? 5- You see your reflection in your friend's mirrored sunglasses. If each lens has a focal length of ~12 cm, and your image appears 9.0 cm behind the sunglasses, how far from your friend are you standing? What is the magnification of the image? 6. To supervise customers, many stores install spherical convex mirrors in strategic locations. Suppose one store has a spherical convex mirror with a magnification of 0.11. Suppose you are 1.75 m tall. a. How tall is the image? b. How far in front of the mirror are you when the image appears 42 cm behind the mirror? 7. A stainlesssteel ladle, used to serve soup, is like a spherical convex mirror. If the focal length of the ladle is 27cm and you are 43 cm in front of the ladle, where does the image appear? What is the magnication of the image? 8. Just after you dry a spoon, you look into the convex part of the spoon. If the spoon has a focal length of 8.2 cm and you are 18 cm in front of the spoon, where does the image appear? What is the magnication of the image? 9. The base of an art deco lamp is made of a convex spherical mirror with a focal length of -39 cm. a. Where does the image appear when you are 16 cm from the base? b. If your nose is 6 cm long, how long does the image appear? 10. The button on many electric hand dryers is a convex mirror. You see the image of your hand as you reach to press the button. If the magnification of the image is 0.24 and your hand is 12 cm away from the but- ton, where does the image appear