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Checking a Float With a Compressed Pocket 4 questions

Checking a Float With a Compressed Pocket

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A water exhibit tests a sealed float made from a rigid body and a flexible gas pocket. The body displaces 8 mL. The float has a fixed total mass of 15 g. The gas pocket remains sealed and the temperature is fixed. In this model doubling the outside pressure halves the pocket volume. Each milliliter of displaced water has a mass of one gram.

Test depthPocket volume (mL)Total fully submerged volume (mL)
Shallow1220
Deeper, twice the pressure614

Question 1

Which reading shows that the deeper float can displace less water while fully submerged?

  1. The 12 mL shallow pocket
  2. The 20 mL shallow total
  3. The 14 mL deeper total
  4. The fixed 15 g mass

Question 2

Use the displaced water and the fixed mass to decide whether the fully submerged float can support its weight at the deeper point.

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Question 3

A student says the deeper result shows water must have entered the pocket. Evaluate the claim using the volume and mass records.

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A replacement keeps the rigid body and total mass the same. It has a larger shallow gas pocket, and the pocket still halves in volume at the deeper point.

Question 4

Calculate the smallest shallow pocket volume that allows the fully submerged replacement to displace at least 15 g of water at the deeper point.

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