009 (part 1 of 2) 10.0 points In movies that involve a character lost in the wilderness somewhere, you often see the hero Vainly try to spear a fish in a river or tidal basin
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Castaway Tom Hanks is about to try to spear fish for his dinner for the very first time. From where he stands on a flat segment of beach, he can see a fish at an apparent angle ́̑ below the water as shown. Where should Tom Hanks aim the throw of his spear so that he is likely to hit the fish? Directly at the fish. Above the fish (at a higher ́̑, farther from the normal). Below the fish (at a lower ́̑, closer to the normal). Briefly explain your reasoning. Your explanation should site a specific principle and physical quantities to justify your choice.
Maitreya E.
A swimmer is trying to swim across a river. The river is 100 m wide. 50 m down the river from his starting point, a dangerous waterfall is threatening to drown any unsuspecting swimmers. The swimmer can swim at a speed of 1 m/s relative to the water (we'll call this vswimmer). The current pushes him towards the waterfall at a speed vwater (see arrows on picture). Part 1 (1 point): The swimmer starts out aiming himself straight for the other shore. How long will it take him to reach the shore? Part 2 (1 point): If he aims straight for the other shore, how fast can the current (vwater) be, if he is to survive the swim? Part 3 (1 point): As viewed from the shore, what is the total speed of the swimmer? (Hint: From the shore, his path will look like a diagonal line. You probably know from math class how to find the hypotenuse if you know the two catheters of a right-angled triangle.) Part 4 (2 points) (challenging!): The current in the river turns out to be 0.8 m/s, too strong for the swimmer to make the other shore if just aiming straight for the opposite shore. The swimmer changes strategy and decides to swim at an angle, so that part of his efforts cancels the current. As a result, he moves straight across the river towards the other shore, as viewed from the shore (see drawing). How long will it now take him to reach the opposite shore? (Hint: vswimmer is still 1 m/s)
Ethan D.
Marcus has been using a spear and physics to determine how the refraction of light in water will change and how this will affect the fishing process. If the producers of the show diabolically decide to provide Marcus with a laser spear, will his fishing strategy change? What part of the fish should he aim at to make a hit? Explain how the laser spear will act in comparison to the regular spear.
Khoobchandra A.
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