At the end of the film Titanic, Rose was floating on a wooden door as shown below while Jack stayed in the icy cold water. Many people have questioned why Jack didn't also float on the door. In this problem, we will explore what might have happened. Suppose the door is 1.0 m wide and 2.0 m tall, and made of red oak (p = 740 kg/m³). Suppose Rose has a mass of 60 kg and Jack has a mass of 75 kg. 3. (a) If the door were floating by itself (with nobody on it), what fraction of the door would be submerged? (b) It appears that with Rose on top, about 2 cm of the door is above the surface of the water. What is the thickness of the door? (c) What is the maximum mass of people that can float on the door? Could Jack have joined Rose? (d) Suppose the door were made out of some other material. What is the maximum density that could support both Jack and Rose?

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Chapter14: Fluid Mechanics
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Problem 109AP: Bird bones have air pockets to reduce their weight—this also gives them an average density...
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At the end of the film Titanic, Rose was floating on a wooden door as shown below while
Jack stayed in the icy cold water. Many people have questioned why Jack didn't also float on
the door. In this problem, we will explore what might have happened. Suppose the door is
1.0 m wide and 2.0 m tall, and made of red oak (p = 740 kg/m³). Suppose Rose has a mass
of 60 kg and Jack has a mass of 75 kg.
3.
(a) If the door were floating by itself (with nobody on it), what fraction of the door would
be submerged?
(b) It appears that with Rose on top, about 2 cm of the door is above the surface of the
water. What is the thickness of the door?
(c) What is the maximum mass of people that can float on the door? Could Jack have
joined Rose?
(d) Suppose the door were made out of some other material. What is the maximum density
that could support both Jack and Rose?
Transcribed Image Text:At the end of the film Titanic, Rose was floating on a wooden door as shown below while Jack stayed in the icy cold water. Many people have questioned why Jack didn't also float on the door. In this problem, we will explore what might have happened. Suppose the door is 1.0 m wide and 2.0 m tall, and made of red oak (p = 740 kg/m³). Suppose Rose has a mass of 60 kg and Jack has a mass of 75 kg. 3. (a) If the door were floating by itself (with nobody on it), what fraction of the door would be submerged? (b) It appears that with Rose on top, about 2 cm of the door is above the surface of the water. What is the thickness of the door? (c) What is the maximum mass of people that can float on the door? Could Jack have joined Rose? (d) Suppose the door were made out of some other material. What is the maximum density that could support both Jack and Rose?
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