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A ball weighing 4kg of density 4000kg/m3 is completely immersed in water of density 1000kg/m3. find the buoyant force

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by sonali25

take g=10m/s2

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by sonali25

take g=10m/s2

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Mass of ball = 4kg

Density of ball = 4000kg/m³

So, volume of ball,

4000/1 = 4/x

x = 4/4000 = 1/1000 = 0.001

Volume of ball = Volume of liquid displaced = 0.001 m³

Density of liquid = 1000kg/m³

Weight of liquid displaced =

1000/1 = y/0.001

y = 1kg

Now, according to Archimedes principle, the upthrust is equal to the weight of water displaced.

Upthrust = 4

Density of ball = 4000kg/m³

So, volume of ball,

4000/1 = 4/x

x = 4/4000 = 1/1000 = 0.001

Volume of ball = Volume of liquid displaced = 0.001 m³

Density of liquid = 1000kg/m³

Weight of liquid displaced =

1000/1 = y/0.001

y = 1kg

Now, according to Archimedes principle, the upthrust is equal to the weight of water displaced.

Upthrust = 4