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Mathematics 22 Online
OpenStudy (anonymous):

is anyone good at physics?

OpenStudy (anonymous):

theres another section for physics

OpenStudy (anonymous):

my scecialty! haha

OpenStudy (anonymous):

nobody is helping me in that section

OpenStudy (anonymous):

its applied math

OpenStudy (anonymous):

what is your question i can help you

OpenStudy (anonymous):

the question is a person's face is 30 cm in front of a concave mirror. if the image is an erect image 1.5 times as large as the object, what is the mirror's focal length?

OpenStudy (anonymous):

ok let me worth this out

OpenStudy (anonymous):

the answer is 90 cm :)

OpenStudy (anonymous):

can you tell me how you got that?

OpenStudy (anonymous):

yes this is going to be very hard to explain but let me try haha

OpenStudy (anonymous):

im only 16 but im very good in physics haha

OpenStudy (anonymous):

lolz im 16 and very bad. so how did you find 90?

OpenStudy (anonymous):

ok lets see

OpenStudy (anonymous):

do you know about concave and convex like are you familiar

OpenStudy (anonymous):

i know that convex mirror is like ( and concave mirror is like )

OpenStudy (anonymous):

ds can you exxplain it ?

OpenStudy (anonymous):

i'm pretty sure yankeefan just googled it, otherwise it wouldn't be that difficult to explain.

OpenStudy (anonymous):

Use the mirror equation: 1/di + 1/do = 1/f

OpenStudy (anonymous):

i didn't google it haha im not an idiot

OpenStudy (anonymous):

yes. so that is 1/f= 1/30 +1/45

OpenStudy (anonymous):

now what?

OpenStudy (anonymous):

solve for f, which is the focal length

OpenStudy (anonymous):

right. so this is what i did. 1. found the common denominator (90) so 1/30 +1/45 -> 3/90 + 2/90 2. thats 5/90

OpenStudy (anonymous):

which i think is 18

OpenStudy (anonymous):

yeah it is.

OpenStudy (across):

\[\frac{1}{f}=\frac{1}{d_{0}}+\frac{1}{d_{i}}\]f = focal length d0 = distance from mirror to object di = distance from mirror to image \[m=\frac{-d_{i}}{d{0}}\]m = magnification\[\frac{3}{2}=\frac{-d_{i}}{30}\]\[-45=d_{i}\]\[\frac{1}{f}=\frac{1}{30}+\frac{1}{-45}\]\[f=90\]I Googled it. Intuition > Memory

OpenStudy (across):

The formulas, that is.

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