Question
Question 133.6 ptsA man stands with his nose 11 cm from a concave shaving mirror of radius 29.2 cm: The distance from the mirror to the image of his nose is cm: Round your answer to the nearest whole number:
Question 13 3.6 pts A man stands with his nose 11 cm from a concave shaving mirror of radius 29.2 cm: The distance from the mirror to the image of his nose is cm: Round your answer to the nearest whole number:
Answers
The side-view mirror of an automobile has a radius of curvature of $11.3 \mathrm{cm} .$ The mirror produces a virtwal image one-third the size of the object. How far is the object from the mirror?
From the problem. We know the image produced by a mirror is located 26 centimeters away. And we also know that the focal length it's 12 centimeters as human. The raise close to on nearly parallel to the optic doctors and using the object and image distance equation for a spherical Mira one over s plus one over s dash is equal to two overall, which is also equal to one over f were given s dash for the image location and also the focal length. So we want to try and find s for the object location. Then, by rearranging the equation, one of the s is equal to one of the F minus one over S dash Taking the reciprocal s is equal 21 over earth minus one over their stash to the power of modest one. They're full. If we substitute the numerical values into our equation, we get an answer off 0.222 8571 49 meters, which is 22 centimeters
From the problem. We know the image produced by a mirror is located 26 centimeters away. And we also know that the focal length it's 12 centimeters as human. The raise close to on nearly parallel to the optic doctors and using the object and image distance equation for a spherical Mira one over s plus one over s dash is equal to two overall, which is also equal to one over f were given s dash for the image location and also the focal length. So we want to try and find s for the object location. Then, by rearranging the equation, one of the s is equal to one of the F minus one over S dash Taking the reciprocal s is equal 21 over earth minus one over their stash to the power of modest one. They're full. If we substitute the numerical values into our equation, we get an answer off 0.222 8571 49 meters, which is 22 centimeters
Here. We're going to use Equation 34 9 and we can then say that one over I plus one over P is gonna be equal to a constant. And this constant is, of course, equal to one over the focal length. Given that the focal length is a constant. So we can say that one divided by negative 10 plus one over 15 will equal one over the new image. Distance, I said New ah, plus one over 70. And again, all of these units aren't centimeters. So we can say that the new image distance we're going to solve and you can use your solve function in your tea I 84 85 89 in order to solve for the new image distance. This is equaling negative 21. And again, the units are centimeters. So the new image distances negative. 21 centimeters. That is the end of the solution. Thank you for watching
In this problem, we are going to kill color than my distance from the mirror. That is a d I prime on Excuse the middle question one you wanted by a physicals to one you wanted by the or plus one day wanted by D I. Now inserting the Wellies into this question, we can write one divided by ethnic ALS to wonder what it by 25 centimeter plus one you wanted by minus 17 centimeters. So initially the object is at a distance of 25 centimeter under images. So did sentiment behind the mirror. So this really value for the F which is the focal int off the mirror as f equals two minus 53 point 13 centimeters. Now, in order to calculate this D I prime well, the real the minute recording again And we write 20 wanted by articles to one you wanted by Dior Prime plus one you wanted by D i prime. I was holding this question for one you wanted by the I drive. You can write one you wanted by d I prime is it goes to one day wanted by F minus one you wanted by deal Prime no wait 30 Williams into the squadron. We can white one you wanted by de I Prime is equals to one divided by minus 53.13 centimeters minus one divided by my dear Cindy. We do now. This would be about the value for this prima's d i prime musicals, too. 14 centimeter, 14.0 centimeters. So this is very quiet. Thank you.