Question

You watch two otters cross a river of width d with water flowing at vw. Otter 1 swims across the river perpendicularly to the shore (but ends up actually swimming diagonally from the reference frame of a person standing on the shore because the river flows in a direction perpendicular to the direction the otter swims). Otter 2 swims in a direction that takes her directly across the river, on a path that is actually perpendicular to the shore as seen from a person standing on the shore. Each otter swims at vo relative to the water and they take the paths described above. How much longer does the Otter 2 take to cross the river? To answer this, derive an expression for the ratio of the time taken by the Otter 2 to cross the river divided by the time taken by the Otter 1 to cross the river. Get the ratio in terms of vo and vw and select the correct answer.

Answer 1

The fur of a sea otter is the densest of any animal, having the most hairs per square inch of any other species. Even while floating in the water, their thick fur keeps the animal warm and dry.

Sea otters decrease heat loss when the water is too cold by floating on their backs with their feet out of the water. To increase their surface area when trying to dissipate heat, sea otters spread their feet out underwater. Sea otters typically spread out or tuck their feet up to maintain body heat. The amount of food available to sea otters would decrease if prey species in their environment declined as a result of changing temperatures.

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