To find the mass of the gold sphere that displaces 2.3 mL of water, we can use the density of gold, which is approximately 19.32 g/cm³. Since 1 mL is equivalent to 1 cm³, the mass can be calculated using the formula: mass = density × volume. Therefore, the mass of the gold sphere is 19.32 g/cm³ × 2.3 cm³ = 44.49 grams.
The center of mass of a sphere is its geometric center.
It depends on the information you have. You could put the sphere on a flat surface and lower a horizontal plane onto it so that it just touches the top of the sphere. The distance between the flat surface and the horizontal plane is the sphere's diameter; the radius is half that. Or you could measure its volume by measuring the amount of fluid (water) that it displaces in a measuring container or the overflow from any full container. Then use the formula V = 4/3*pi*R3 to work out the radius. If you knew the density of the material of the sphere, you could measure its mass and work out its volume that way.
mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)
To find the mass of a sphere, you need to know its density in addition to its volume. The volume ( V ) of a sphere can be calculated using the formula ( V = \frac{4}{3} \pi r^3 ). For a sphere with a radius of 4 cm, the volume would be approximately 268.08 cm³. If you provide the density of the material the sphere is made of, the mass can be calculated using the formula ( \text{mass} = \text{density} \times \text{volume} ).
Since gold is 19.32 grams per ml and water is 1 gram per ml they both have the same mass
The mass is 1 367 g.
The volume of the rock is the amount of water it displaces, 250ml. Considering that 1ml of water has a mass of 1 mg, the mass of the rock is 5.63 x 250gm = 1,407.5mg.
No relationship at all. But there is a definite and direct relationship between theamount of water than an object displaces and the object's volume.
Determine its volume by how much water it displaces, then divide mass by volume
Because we take the water's space so it needs to rise. It was discovered by Aristotle when he fulled his bath full of water and it overflowed.
Negative buoyancy occurs when an object displaces less than its mass of whatever its not floating in. A liter of water has a mass of 1kg, but displaces less than 10g of air, so water sinks in air.
Float
Yes. A floating object displaces its own mass in water.
If the object floats you can calculate its mass by the amount of water it displaces and its size. If it doesn't float i am not sure.
No. That only tells you the diver's volume.
the mass decreases as the wax burns so it displaces less water
It has a shape such that it displaces a quantity of water whose mass is greater than is own.