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).

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)

Two spheres A and B, each of volume 100 cm³ are placed on water (density = 1.0 g cm^-3). The sphere A is made of wood of density 0.3 g cm^-3 and the sphere B is made of iron of density 8.9 g cm^-3.

(a) Find (i) the weight of each sphere, and (ii) the upthrust on each sphere.

(b) Which sphere will float ? Give reason.

The mass of a block made of a certain material is 13.5 kg and it's volume is 15 x 10^-3 m³.

(a) Calculate upthrust on the block if it is held fully immersed in water.

(b) Will the block float or sink in water when released? Give reason for your answer.

(c) What will be the upthrust on block while floating? Take density of water = 1000 kg m^-3.