Physics Lens Problem: Find Object Distance

AI Thread Summary
The discussion revolves around solving a physics lens problem involving an object and its real image, which are 2.4 m apart, with a lens focal length of 55 cm. The equation used is 1/s + 1/s' = 1/f, leading to a quadratic equation for the object distance. Initial attempts yielded incorrect values, but the correct approach involved adjusting the equation to account for the distance between the object and image. Ultimately, the user successfully solved the problem after refining their method. The conversation highlights the importance of careful formulation in physics problems.
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Homework Statement


An object and its lens-produced real image are 2.4 m apart.

Part A
If the lens has 55-cm focal length, what are the possible values for the object distance?
Express your answer using two significant figures.

Homework Equations


1/s+1/s'=1/f
s-s'=2.4m

The Attempt at a Solution


1/s+1/(s-2.4)=1/.55
2s-2.4/s^2-2.4s=1/.55
s^2-3.5s+1.32=0
I then used the quadratic formula and found:
s=3.07 and s=.4299

I tried this answer, but it is wrong. I also tried substituting s'=2.4+s. But the answers I got for that were wrong as well.

Nevermind, I solved it. I had to use s-(-s')=2.4.
 
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Hello m2, :welcome: nevertheless.

Maybe it helped that you had to order your thoughts to come up with a good first post in PF :wink:
 
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