Image formed by concave mirror; completed need someone to check

AI Thread Summary
A person used a concave mirror to examine a tongue bite, placing the mirror 10 cm from the object, resulting in a virtual image four times larger than the actual size. The calculations showed the object distance (s) as 10 cm, the image distance (s') as -40 cm, and the focal length (f) as approximately 13.33 cm. Using the relationship f = R/2, the radius of curvature (R) was determined to be about 26.67 cm. The solution was confirmed as correct by another participant in the discussion. This highlights the application of concave mirrors in practical scenarios and the importance of understanding mirror formulas.
hodgepodge
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Homework Statement



A person accidentally bit his tongue and wants to examine the bite by using a concave mirror. The mirror is placed 10 cm from the bite with the result that a virtual image of the bite appears 4 times actual size. Find the parameters s (distance from object to mirror), s' (distance from mirror to image), and R (radius of convex mirror).

Homework Equations


1/s + 1/s' = 1/f ; f=focal length
Magnification = -s'/s
f = R/2

The Attempt at a Solution



i got s = 10 cm
then using magnification formula (4 = -s'/s)
i got s' = -40 cm (negative b/c its a virtual image)
i then got focal length = 13.3333 using formula 1
so if f=R/2; R = 26.6667 cm

any input would be appreciated
 
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Hi hodgepodge

I think you got it right
 
Your solution is correct.
 
thanks
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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