what is the acceleration of a small metal sphere as it falls through water? sphere weighs .28 n, volume is 13cm^3
To determine the acceleration of a small metal sphere as it falls through water, we need to consider two forces acting on the sphere: the gravitational force (weight) and buoyant force.
The weight of the sphere can be calculated using the formula:
Weight = mass × gravity
First, we need to find the mass of the sphere. The mass can be obtained using the formula:
Mass = Density × Volume
The given information is the weight of the sphere, which is 0.28 N, and the volume of the sphere, which is 13 cm^3. However, we don't have the density of the metal sphere. Without knowing the density, we cannot find the mass and subsequently the acceleration.
To calculate the acceleration, we need to determine the buoyant force acting on the sphere. The buoyant force is given by Archimedes' principle:
Buoyant force = Density of water × Volume × Acceleration due to gravity
Unfortunately, we don't have the density of the water or the acceleration due to gravity (which is approximately 9.8 m/s^2 on Earth) in the given information. Therefore, we cannot calculate the acceleration without these missing values.
If you have the missing information, such as the density of water and acceleration due to gravity, please provide it, and I can assist you further in calculating the acceleration of the sphere as it falls through water.