00:01
Okay, so this problem as for the position and size of the moon image that is formed by the hale toscop reflecting mirror that has a focal length of 16 .9 meters.
00:13
So it was indicated that the focal length is positive, where the diameter of the moon is 3 .5 times 10 raised to 3 kilometers.
00:26
So this is the object size.
00:30
So we denote it as s of o.
00:37
And the distance of the moon from earth is stated with a value of 3 .8 times 10 minutes to 5 kilometers.
00:43
So this is the object distance from the mirror.
00:46
So we denote as d sub o.
00:50
So what the problem is asking for is the positions.
00:55
So it is the distance of the image from the mirror, so s of i, and the size of the image show s of i.
01:07
Then we can determine that using the mirror equation, and the magnification formula.
01:14
So first from the mirror equation, we have this relationship.
01:21
So reciprocal of the object distance plus the reciprocal of the image distance is equal to the reciprocals of the focal length.
01:28
Then the image distance is equal to this...