You are provided with a hollow iron ball A of volume 15 cm³ and mass 12 g and a solid iron ball B of mass 12 g. Both are placed on the surface of water contained in a large tub. (a) Find upthrust on each ball. (b) Which ball will sink ? Give reason for your answer. ( Density of iron = 8.0 g cm^-3)
Fluids Upthrust
95 Likes

Question

You are provided with a hollow iron ball A of volume 15 cm³ and mass 12 g and a solid iron ball B of mass 12 g. Both are placed on the surface of water contained in a large tub. (a) Find upthrust on each ball. (b) Which ball will sink ? Give reason for your answer. ( Density of iron = 8.0 g cm^-3)

Fluids Upthrust

95 Likes

KnowledgeBoat · Accepted Answer

(a) Upthrust due to liquid = volume of the solid x density of fluid x acceleration due to gravity [Equation 1] Volume = [Equation 2] Given, Mass of ball A = 12 g Mass of ball B = 12 g Volume of the hollow iron ball A = 15 cm³ Density of iron = 8 g cm³ Substituting the values in equation 2, to find volume of solid iron ball B, Volume of solid iron ball B = = 1.5 cm³ Substituting the values in equation 1 to get upthrust on hollow ball A Upthrust on hollow ball A = 15 x 1 x g = 15 gf Hence, Upthrust on hollow ball A = 15 gf Substituting the values in equation 1 to get upthrust on solid iron ball B Upthrust on solid iron ball B = 1.5 x 1 x g = 1.5 gf Hence, Upthrust on solid iron ball B = 1.5 gf (b) Solid iron ball B will sink. Ball B experiences an upthrust of 1.5 gf in water that is less than it's weight of 12 gf. Hence ball B will sink. Ball A experiences an upthrust of 15 gf that is greater than it's weight of 12 gf. Hence it will float with its that much part submerged for which upthrust becomes equal to its weight of 12 gf.

Physics

You are provided with a hollow iron ball A of volume 15 cm³ and mass 12 g and a solid iron ball B of mass 12 g. Both are placed on the surface of water contained in a large tub. (a) Find upthrust on each ball. (b) Which ball will sink ? Give reason for your answer. ( Density of iron = 8.0 g cm^-3)

Fluids Upthrust

Related Questions

A body of volume 100 cm³ weighs 5 kgf in air. It is completely immersed in a liquid of density 1.8 x 10³ kg m^-3. Find (i) the upthrust due to liquid and (ii) the weight of the body in liquid.

A body weighs 450 gf in air and 310 gf when completely immersed in water.
Find —
(i) the volume of the body,
(ii) the loss in weight of the body, and
(iii) the upthrust on the body.
State the assumption made in part (i).

A solid of density 5000 kg m^-3 weighs 0.5 kgf in air. It is completely immersed in water of density 1000 kg m^-3. Calculate the apparent weight of the solid in water.

Physics

You are provided with a hollow iron ball A of volume 15 cm3 and mass 12 g and a solid iron ball B of mass 12 g. Both are placed on the surface of water contained in a large tub. (a) Find upthrust on each ball. (b) Which ball will sink ? Give reason for your answer. ( Density of iron = 8.0 g cm-3)

Fluids Upthrust

Related Questions

A body of volume 100 cm3 weighs 5 kgf in air. It is completely immersed in a liquid of density 1.8 x 103 kg m-3. Find (i) the upthrust due to liquid and (ii) the weight of the body in liquid.

A body weighs 450 gf in air and 310 gf when completely immersed in water.Find —(i) the volume of the body,(ii) the loss in weight of the body, and(iii) the upthrust on the body.State the assumption made in part (i).

A solid of density 5000 kg m-3 weighs 0.5 kgf in air. It is completely immersed in water of density 1000 kg m-3. Calculate the apparent weight of the solid in water.

You are provided with a hollow iron ball A of volume 15 cm³ and mass 12 g and a solid iron ball B of mass 12 g. Both are placed on the surface of water contained in a large tub. (a) Find upthrust on each ball. (b) Which ball will sink ? Give reason for your answer. ( Density of iron = 8.0 g cm^-3)

A body of volume 100 cm³ weighs 5 kgf in air. It is completely immersed in a liquid of density 1.8 x 10³ kg m^-3. Find (i) the upthrust due to liquid and (ii) the weight of the body in liquid.

A body weighs 450 gf in air and 310 gf when completely immersed in water.
Find —
(i) the volume of the body,
(ii) the loss in weight of the body, and
(iii) the upthrust on the body.
State the assumption made in part (i).

A solid of density 5000 kg m^-3 weighs 0.5 kgf in air. It is completely immersed in water of density 1000 kg m^-3. Calculate the apparent weight of the solid in water.