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A wooden board 2.0 m long, 30 cm wide, and 40 mm thick floats in water with 10 mm of its thickness above the surface. What is the mass of the board?

A. 1.8 kg
B. 6.0 kg
C. 24 kg
D. 176 kg

Answer :

Final answer:

To solve this problem, we use the concept of buoyancy. By calculating the buoyant force, we can determine the mass of the wooden board. Therefore, the correct answer is : (c).

Explanation:

To solve this problem, we need to use the concept of buoyancy. When an object is floating in a fluid, the buoyant force exerted on the object equals the weight of the fluid displaced by the object.

In this case, the wooden board is floating with 10 mm of its thickness above the water's surface. Since the density of water is 1000 kg/m³, we can calculate the buoyant force using the formula: Buoyant force = density of water * volume of the part of the object submerged * gravitational acceleration.

By calculating the buoyant force, we can determine the mass of the wooden board, which is approximately 24 kg.

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Rewritten by : Barada