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Q 59

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

You’re visiting the shark tank at the aquarium when you see a 2.5-m-long shark that appears to be swimming straight toward you at 2.0 m/s. What is the shark’s actual speed through the water? You can ignore the glass wall of the tank.

The shark’s actual speed through the water is 2.7 m/s

See the step by step solution

Step by Step Solution

Step 1. Given information is :Length of the shark L = 2.5 mApparent speed of the shark v' = 2.0 m/sRefractive index of water n1 = 1.33Refractive index of air n2 = 1.00

We need to find out the shark’s actual speed through the water.

Step 2. Calculating the actual speed of the shark.

As , the ray originating from the shark are refracted away from the normal at the tank's surface and diverge outwards.

The image distance sH of the shark's head to the surface of tank is related to s'H that is image distance as :

Now differentiating s'H with respect to time for the apparent speed of the shark :

The shark’s actual speed through the water is 2.7 m/s

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