can u solve this question?
When a body hanging from a spring balance is immersed in water it floats just below the surface of water and shows 100g loss in its weight:
1. What is the weight of the body in water , air , upthrust on the body and what is the volume of the body?
Nope. All I can tell you is that 100g of water has been displaced.
Yes, I can help you solve this question.
To find the weight of the body in water, we need to consider the concept of buoyancy. When an object is immersed in a fluid, it experiences an upward force called the buoyant force or upthrust. This force is equal to the weight of the fluid displaced by the object.
Given that the body shows a loss of 100g in weight when immersed in water, we can conclude that the buoyant force acting on the body is 100g. This means the weight of the body in water is 100g less than its weight in air.
To find the weight of the body in air, we can add the weight of the body in water to the loss in weight. Let's assume the weight of the body in air is W grams. So, the weight of the body in water would be W - 100g.
To calculate the upthrust on the body, we use the fact that the upthrust is equal to the weight of the water displaced by the body. Since the body is floating just below the surface of the water, we can assume that it has displaced an amount of water equal to its own weight (W grams).
Therefore, the upthrust on the body is W grams.
To find the volume of the body, we need to use Archimedes' principle, which states that the buoyant force acting on an object is equal to the weight of the fluid it displaces.
So, the volume of the body can be calculated by dividing the weight of the body in water (W - 100g) by the density of water. The density of water is approximately 1 gram per cubic centimeter (g/cm^3) or 1000 kilograms per cubic meter (kg/m^3).
Therefore, the volume of the body is (W - 100g) / 1 g/cm^3 or (W - 100g) / 1000 cm^3.
With the given information, we can determine the weight of the body in water, air, upthrust on the body, and the volume of the body. However, we still need to know the actual value of W (the weight of the body in air) to obtain the exact numerical values for these quantities.