a ball of mass of 4kg,of density 4000kg/m3 is completely immersed in water of density 1000kg/m3.find the force of buoyancy.[g=10m/s2]
Vb = 4kg * 1m^3/4000kg = 0.001 m^3. =
Vol. of the ball.
Fb = mg = (V*D)*g.
Fb = 0.001m^3 * 1000kig/m^3 * 10 = 10 N.
= Force of Buoyancy.
How?
To find the force of buoyancy, we need to use Archimedes' principle, which states that the buoyant force acting on a submerged object is equal to the weight of the fluid displaced by the object.
The first step is to find the volume of the ball. We can use the formula:
Volume = Mass / Density
Given that the mass of the ball is 4 kg and the density of the ball is 4000 kg/m³:
Volume = 4 kg / 4000 kg/m³
Volume = 0.001 m³
Now, we can find the weight of the fluid displaced by the ball. The displaced fluid is water, and its density is given as 1000 kg/m³.
Weight of displaced fluid = Volume of displaced fluid * Density of the fluid * Acceleration due to gravity
Weight of displaced fluid = 0.001 m³ * 1000 kg/m³ * 10 m/s²
Weight of displaced fluid = 10 N
According to Archimedes' principle, the buoyant force acting on the object is equal to the weight of the displaced fluid. Therefore, the force of buoyancy acting on the ball submerged in water is 10 N.