Problem 3 A man is standing on a raft, which is a large block of wood with dimensions 1.35 m by 1.35 m by 0.275 m. The raft is floating in water, with 85.0% of its volume submerged below the surface of the water. The density of the wood is 0.665 g/cm³, and the density of water is 1.00 g/cm³. (a) Calculate the magnitude of the buoyant force that the water exerts on the raft. Give your answer in units of Newtons (N).

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**Problem 3**

A man is standing on a raft, which is a large block of wood with dimensions 1.35 m by 1.35 m by 0.275 m. The raft is floating in water, with 85.0% of its volume submerged below the surface of the water. The density of the wood is 0.665 g/cm³, and the density of water is 1.00 g/cm³.

*Image Description*: The diagram shows a rectangular wooden raft floating on water. A stick figure representing a man is standing on the raft. The submerged and unsubmerged parts of the raft are distinguishable, illustrating the principle of buoyancy.

(a) **Calculate the magnitude of the buoyant force that the water exerts on the raft.**  
   Give your answer in units of Newtons (N).

(b) **What is the mass of the man?**  
   Give your answer in units of kilograms (kg).
Transcribed Image Text:**Problem 3** A man is standing on a raft, which is a large block of wood with dimensions 1.35 m by 1.35 m by 0.275 m. The raft is floating in water, with 85.0% of its volume submerged below the surface of the water. The density of the wood is 0.665 g/cm³, and the density of water is 1.00 g/cm³. *Image Description*: The diagram shows a rectangular wooden raft floating on water. A stick figure representing a man is standing on the raft. The submerged and unsubmerged parts of the raft are distinguishable, illustrating the principle of buoyancy. (a) **Calculate the magnitude of the buoyant force that the water exerts on the raft.** Give your answer in units of Newtons (N). (b) **What is the mass of the man?** Give your answer in units of kilograms (kg).
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