If a beam of light with an angle of incidence

AI Thread Summary
The discussion revolves around calculating the horizontal distance a beam of light travels when entering Lake Baikal at an angle of incidence of 59.42 degrees. Participants emphasize the importance of showing any preliminary work to receive effective assistance. The conversation highlights the need to apply Snell's Law to determine the refraction of light as it enters the water. The maximum depth of the lake, 1780.7 meters, is noted as a critical factor in the calculation. Overall, the thread encourages collaboration and sharing of problem-solving steps for better guidance.
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Homework Statement



The maximum depth of Lake Baikal, in Russia, is 1780.7 m, making it the world’s deepest freshwater lake. If a beam of light with an angle of incidence of 59.42o enters the water from the air, what is the horizontal distance between the point where the light enters the water and the point where it strikes the lake’s bottom?

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The Attempt at a Solution

 
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hi samrifai13! welcome to physicsforums. How far have you got in the question? If you don't post your working so far, we don't know how to help.
 
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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