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A boat of solid polystyrene (cube, side length 1.200 m) is released into the water in Narragansett Bay. Ignore the air above the bay to simplify things. 1) What is the mass of the boat? Questions 2-6 share the same set of answers (immediately below) you will use to fill in the blanks. For each, consider the state where the boat is released in the Bay with only gravity and the buoyant force acting.

A boat of solid polystyrene (cube, side length 1.200 m) is released into the water in Narragansett Bay. Ignore the air above the bay to simplify things. 1) What is the mass of the boat? Questions 2-6 share the same set of answers (immediately below) you will use to fill in the blanks. For each, consider the state where the boat is released in the Bay with only gravity and the buoyant force acting.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Can you please do 1,2,5,7 and 8. Thank you

**Physics of Polystyrene Boat in Water** A boat of solid polystyrene (cube, side length 1.200 m) is released into the water in Narragansett Bay. Ignore the air above the bay to simplify things. **1) What is the mass of the boat?** **Questions 2-6** share the same set of answers (immediately below) you will use to fill in the blanks. For each, consider the state where the boat is released in the Bay with only gravity and the buoyant force acting. A) less than B) equal to C) greater than D) not enough information is given to answer definitively 2) The volume of the boat is ____ the volume of fluid it displaces. 3) The mass of the boat is ____ the mass of the fluid it displaces. 4) The density of the boat is ____ the density of the fluid it displaces. 5) The acceleration of the boat is ____ zero in the "up" direction (+ y). 6) The weight of the fluid displaced by the boat is ____ the weight of the boat. 7) What is the dry length of the side normal to the surface of the water on this unusually calm day? (If it sinks, no part of the boat would be dry) **Additional Problem (P.107.21.c):** 8) Calculate the magnitude of the buoyant force acting on the boat if it were entirely submerged (say because it was pulled under the sea water by some external actor like Jaws). *Posted by Miskatonic Mathematics Student Edition* --- ### Explanation of Concepts: **Graphs or Diagrams:** There are no graphs or diagrams included in this problem set. Therefore, no further detailed explanation is needed for any visual aids. **Problem Breakdown:** 1. **Mass of the Boat:** To determine this, you would need to know the density of the polystyrene and use the formula for the volume of a cube (side length³) to find its volume, then multiply by the density. 2. **Volume Comparison:** Recognizes the principle of Archimedes' buoyancy where the volume of fluid displaced by a floating object is equal to the volume of the part of the object submerged in the fluid. 3. **Mass Comparison:** This involves the application of Archimedes' principle which states that the weight of the displaced fluid (mass of displaced fluid times gravity) is equal to the
Transcribed Image Text:**Physics of Polystyrene Boat in Water** A boat of solid polystyrene (cube, side length 1.200 m) is released into the water in Narragansett Bay. Ignore the air above the bay to simplify things. **1) What is the mass of the boat?** **Questions 2-6** share the same set of answers (immediately below) you will use to fill in the blanks. For each, consider the state where the boat is released in the Bay with only gravity and the buoyant force acting. A) less than B) equal to C) greater than D) not enough information is given to answer definitively 2) The volume of the boat is ____ the volume of fluid it displaces. 3) The mass of the boat is ____ the mass of the fluid it displaces. 4) The density of the boat is ____ the density of the fluid it displaces. 5) The acceleration of the boat is ____ zero in the "up" direction (+ y). 6) The weight of the fluid displaced by the boat is ____ the weight of the boat. 7) What is the dry length of the side normal to the surface of the water on this unusually calm day? (If it sinks, no part of the boat would be dry) **Additional Problem (P.107.21.c):** 8) Calculate the magnitude of the buoyant force acting on the boat if it were entirely submerged (say because it was pulled under the sea water by some external actor like Jaws). *Posted by Miskatonic Mathematics Student Edition* --- ### Explanation of Concepts: **Graphs or Diagrams:** There are no graphs or diagrams included in this problem set. Therefore, no further detailed explanation is needed for any visual aids. **Problem Breakdown:** 1. **Mass of the Boat:** To determine this, you would need to know the density of the polystyrene and use the formula for the volume of a cube (side length³) to find its volume, then multiply by the density. 2. **Volume Comparison:** Recognizes the principle of Archimedes' buoyancy where the volume of fluid displaced by a floating object is equal to the volume of the part of the object submerged in the fluid. 3. **Mass Comparison:** This involves the application of Archimedes' principle which states that the weight of the displaced fluid (mass of displaced fluid times gravity) is equal to the
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