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**Title: Analyzing the Floating Door Scene from Titanic** At the end of the film *Titanic*, Rose was floating on a wooden door while Jack stayed in the icy cold water. Many have questioned why Jack didn’t also float on the door. In this exploration, we'll analyze what might have happened. **Specifications:** - The door: 1.0 m wide, 2.0 m tall, and made of red oak (density = 740 kg/m³). - Rose's mass: 60 kg - Jack's mass: 75 kg **Questions:** (a) **Door Alone:** - Determine the fraction of the door submerged when floating alone. (b) **With Rose:** - With Rose on top, 2 cm of the door remains above water. Calculate the door’s thickness. (c) **Maximum Capacity:** - Identify the maximum mass of people the door can support. Could Jack have joined Rose? (d) **Alternative Material:** - If the door were of another material, what is the maximum density allowing support for both Jack and Rose? This exercise explores buoyancy principles and real-world implications of materials in floating scenarios.

**Title: Analyzing the Floating Door Scene from Titanic** At the end of the film *Titanic*, Rose was floating on a wooden door while Jack stayed in the icy cold water. Many have questioned why Jack didn’t also float on the door. In this exploration, we'll analyze what might have happened. **Specifications:** - The door: 1.0 m wide, 2.0 m tall, and made of red oak (density = 740 kg/m³). - Rose's mass: 60 kg - Jack's mass: 75 kg **Questions:** (a) **Door Alone:** - Determine the fraction of the door submerged when floating alone. (b) **With Rose:** - With Rose on top, 2 cm of the door remains above water. Calculate the door’s thickness. (c) **Maximum Capacity:** - Identify the maximum mass of people the door can support. Could Jack have joined Rose? (d) **Alternative Material:** - If the door were of another material, what is the maximum density allowing support for both Jack and Rose? This exercise explores buoyancy principles and real-world implications of materials in floating scenarios.

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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**Title: Analyzing the Floating Door Scene from Titanic** At the end of the film *Titanic*, Rose was floating on a wooden door while Jack stayed in the icy cold water. Many have questioned why Jack didn’t also float on the door. In this exploration, we'll analyze what might have happened. **Specifications:** - The door: 1.0 m wide, 2.0 m tall, and made of red oak (density = 740 kg/m³). - Rose's mass: 60 kg - Jack's mass: 75 kg **Questions:** (a) **Door Alone:** - Determine the fraction of the door submerged when floating alone. (b) **With Rose:** - With Rose on top, 2 cm of the door remains above water. Calculate the door’s thickness. (c) **Maximum Capacity:** - Identify the maximum mass of people the door can support. Could Jack have joined Rose? (d) **Alternative Material:** - If the door were of another material, what is the maximum density allowing support for both Jack and Rose? This exercise explores buoyancy principles and real-world implications of materials in floating scenarios.
Transcribed Image Text:**Title: Analyzing the Floating Door Scene from Titanic** At the end of the film *Titanic*, Rose was floating on a wooden door while Jack stayed in the icy cold water. Many have questioned why Jack didn’t also float on the door. In this exploration, we'll analyze what might have happened. **Specifications:** - The door: 1.0 m wide, 2.0 m tall, and made of red oak (density = 740 kg/m³). - Rose's mass: 60 kg - Jack's mass: 75 kg **Questions:** (a) **Door Alone:** - Determine the fraction of the door submerged when floating alone. (b) **With Rose:** - With Rose on top, 2 cm of the door remains above water. Calculate the door’s thickness. (c) **Maximum Capacity:** - Identify the maximum mass of people the door can support. Could Jack have joined Rose? (d) **Alternative Material:** - If the door were of another material, what is the maximum density allowing support for both Jack and Rose? This exercise explores buoyancy principles and real-world implications of materials in floating scenarios.
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