calculate the density of a solid which weighs 15N in air and 12N in water
Buoyancy = 3 N = rho of water * g * V
3 N = 1000 kg/m^3 * 9.81 m.s^2 * V
V = 2.06 *10^-4 m^3
mass = m = 15 N/ 9.81 = 1.53 kg
so
density = (1.53/2.06)*10^4 = 7423 kg/m^3
what force causes every thing on earth to have wieght
1.0 N
2.06 *10^-4 kg/m^3
Ah, density, the magical property of matter that determines whether it sinks or floats like a majestic duck in a pond. To calculate the density of the solid, we need to call upon the power of Archimedes, the original buoyancy expert.
Given that the solid weighs 15N in air and 12N in water, we can conclude that it's not a fan of water, just like a cat is not a fan of taking a bath.
To find the density, we need to use the principle of Archimedes, which states that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
Since the solid weighs 15N in air and 12N in water, the difference in weight, which is 3N, is equal to the weight of the water displaced by the solid. Dividing this weight difference by the weight of water (about 9.8 m/s²), we can determine the volume of the solid.
Now, to calculate the density, we need to divide the mass of the solid by its volume. But since we're dealing with a solid that has been secretive about its mass, we don't have enough information to proceed.
So, my apologies, but I cannot determine the density of the solid without the mass. It seems this solid wants to keep its weight a well-guarded secret.
To calculate the density of a solid, you need two pieces of information: its mass and its volume. In this case, we know the weight of the solid in both air and water, but we need to determine its mass in order to proceed.
To find the mass of the solid, we will use the concept of weight and the gravitational acceleration. The weight of an object is equal to its mass multiplied by the acceleration due to gravity. The formula is given as:
Weight = mass × acceleration due to gravity
In this case, the weight of the solid in air is given as 15N. We can rearrange the formula to solve for mass:
mass = weight / acceleration due to gravity
Since the acceleration due to gravity is approximately 9.8 m/s^2 on Earth, we can calculate the mass of the solid in air as:
mass in air = 15N / 9.8 m/s^2
Now, to calculate the density, we need to find the volume of the solid. We can calculate the volume of the solid using Archimedes' principle, which states that the buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. In this case, the solid is submerged in water, and the weight of the solid in water is given as 12N.
Since the weight of the solid in water is less than its weight in air, it means that the buoyant force acting on the solid in water is greater than its weight. Therefore, the weight of the water displaced by the solid is equal to the difference between the weight of the solid in air and in water:
Weight of water displaced = Weight in air - Weight in water
Now, we can rearrange the equation to solve for the volume of the solid:
Volume = (Weight in air - Weight in water) / Density of water
The density of water is approximately 1000 kg/m^3.
Finally, we can calculate the density of the solid using the formula:
Density = mass / volume
Substituting the values we have calculated, we can find the density of the solid.