The question asks for the correct statement of Archimedes' principle. This principle is fundamental in fluid mechanics and explains buoyancy.
Correct Option: C) The buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object
The question asks to identify the force responsible for the apparent loss of weight of an object submerged in a fluid, as described by Archimedes' principle. This phenomenon is directly related to a specific upward force exerted by the fluid.
Therefore, the buoyant force is directly responsible for the apparent loss of weight.
Correct Option: B) Buoyant force is the upward force exerted by a fluid that opposes the weight of an immersed object. It is this force that causes the apparent loss of weight.
An object of volume 100 cm³ floats in water with half its volume immersed, displacing 50 cm³ of water. What is the buoyant force acting on it? (Density of water = 1 g/cm³, g = 10 m/s²)
The buoyant force acting on an object immersed in a fluid is given by Archimedes' principle. It states that the buoyant force is equal to the weight of the fluid displaced by the object. We need to calculate the weight of the displaced water using its volume, density, and the acceleration due to gravity.
According to Archimedes' principle, the buoyant force (\(F_B\)) is equal to the weight of the displaced fluid.
\[ F_B = m_{\text{displaced}} \times g \] \[ F_B = 0.05 \text{ kg} \times 10 \text{ m/s}^2 \] \[ F_B = 0.5 \text{ N} \]Correct Option: B) 0.5 N
A solid weighs 20 N in air and 15 N when submerged in water What is the buoyant force acting on the solid?
The buoyant force acting on an object submerged in a fluid is equal to the difference between its weight in air and its apparent weight when submerged in the fluid. This is based on Archimedes' principle.
The buoyant force (\(F_b\)) is the difference between the weight in air and the weight in the fluid.
\[ F_b = W_{\text{air}} - W_{\text{water}} \]Substitute the given values into the formula:
\[ F_b = 20 \, \text{N} - 15 \, \text{N} \] \[ F_b = 5 \, \text{N} \]Correct Option: A) 0.5N
The calculated buoyant force is 5 N. However, looking at the options provided, there seems to be a mismatch. Given the options, and assuming there might be a typo in the question or options, let's re-evaluate if any option could be derived from a common mistake. If the options were 5N, that would be the direct answer. Since 0.5N is given as the correct answer, it implies a division by 10 or a similar scaling error in the question or options. However, based on the fundamental principle, the buoyant force is 5 N.
Let's assume there's a typo in the question's provided correct answer (A) and it should have been 5N. If we strictly follow the provided correct answer A, then the question or options are flawed. But if we must choose from the given options and assume a typo in the question's values, it's impossible to arrive at 0.5N directly from 20N and 15N using the buoyant force formula.
Re-evaluation based on the provided correct answer A (0.5N):
If the buoyant force is 0.5N, and the weight in air is 20N, then the weight in water would be \(20 - 0.5 = 19.5\)N. This contradicts the given weight in water of 15N.
Alternatively, if the weight in air was 20N and the weight in water was 19.5N, then the buoyant force would be 0.5N.
Given the problem statement and the options, there is a discrepancy. The direct calculation yields 5N. If the provided correct answer is A (0.5N), then the question's premise or options are flawed. However, since I must provide an explanation for the given correct option A, I will proceed with the assumption that the question intended to lead to 0.5N, which is not directly derivable from the provided numbers.
Which of the following objects will experience the greatest buoyant force if completely submerged in water?
A 1 kg aluminum block
A 1 kg iron block
A 1 kg lead block
A 1 kg wood block
The buoyant force acting on an object submerged in a fluid is determined by Archimedes' Principle. This principle states that the buoyant force is equal to the weight of the fluid displaced by the object. For objects completely submerged, the volume of fluid displaced is equal to the volume of the object itself. Therefore, to experience the greatest buoyant force, an object must displace the greatest volume of water.
Correct Option: D) A 1 kg wood block
This question asks about Archimedes' principle, a fundamental concept in fluid mechanics. Archimedes' principle describes the buoyant force experienced by an object submerged in a fluid. We need to recall the exact statement of this principle to determine the correct relationship.
Correct Option: B) The buoyant force is equal to the weight of the fluid displaced