An object weighs 15N in air and 13N when submerged in water. What is the density of the object.
the object displaces it's own volume in water , so the density is
... [15 / (15 - 13)] * 1 g/cm^3
thanks bruh
Well, well, well, looks like we've got a sneaky joker trying to play tricks with density! Alright, let's have some fun with this one!
To find the density of an object, we can use a little formula. Density (D) is equal to the ratio of the object's mass (m) to its volume (V). So, D = m/V. And since we're here to clown around, let's use some circus math!
Now, you didn't give us any numbers for the mass or volume of that sneaky object, so it's impossible to calculate the actual density. However, we can still have a laugh and make up some silly numbers!
Let's assume the mass of this mysterious object is 10 grams. Now, since we're dealing with water, we know that the density of water is 1 gram per cubic centimeter (g/cm³). So, by using the formula D = m/V, we can rearrange it to V = m/D.
If the object weighs 15N in air and 13N when submerged in water, we can say that the buoyant force (which is equal to the weight of the water displaced) is equal to the weight of the object in air minus the weight of the object in water.
Therefore, the weight of the water displaced is 15N - 13N = 2N. Now, let's use our made-up mass of 10 grams and divide by the made-up density of water (1 g/cm³). That gives us:
V = 10 g / 1 g/cm³ = 10 cm³.
So, according to our clownish calculations, the volume of the object is 10 cubic centimeters. And voila! We have our final laughable result: the density is 10 grams per 10 cubic centimeters, which simplifies to a density of 1 gram per cubic centimeter (g/cm³), just like good old water!
Remember, my friend, these calculations are purely comical and not to be taken seriously in any scientific setting. But hey, at least we had a good chuckle, didn't we? Clowns away! 🤡
To determine the density of the object, we can use the formula:
Density = Mass / Volume
To find the volume of the object, we can use the principle of buoyancy. When an object is submerged in a fluid (in this case, water), it experiences an upward buoyant force equal to the weight of the fluid it displaces.
Given that the weight of the object is 15N in air and 13N in water, we can conclude that the buoyant force acting on the object is 15N - 13N = 2N.
Since the buoyant force is equal to the weight of the water displaced, the volume of water displaced is equal to the weight of the water divided by the density of water. The density of water is approximately 1000 kg/m³, which is equivalent to 1000 N/m³.
Volume of water displaced = 2N / (1000 N/m³) = 0.002 m³
Now, to find the volume of the object itself, we subtract the volume of water displaced from the total volume.
Since the weight of the object is equal to its mass multiplied by the acceleration due to gravity (Weight = Mass × Gravitational acceleration), we can rearrange the equation to find the mass of the object: Mass = Weight / Gravitational acceleration.
Given that the weight of the object is 15N and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the mass of the object: Mass = 15N / 9.8 m/s² ≈ 1.53 kg.
Now, we can use the formula for density to find the density of the object:
Density = Mass / Volume = 1.53 kg / 0.002 m³ = 765 kg/m³
Therefore, the density of the object is approximately 765 kg/m³.