We fully submerge an irregular lump of material in a certain fluid. The fluid that would have been in the space now occupied by the lump has a mass of . (a) When we release the lump, does it move upward, move downward, or remain in place

We fully submerge an irregular 3 kg lump of material in a certain fluid. The fluid that would have been in the space now occupied by the lump has a mass of 2 kg. (a) When we release the lump, does it move upward, move downward, or remain in place

(a)

[tex]F_{b}[/tex] = Force of buoyancy acting on the irregular lump in upward direction

[tex]M[/tex] = mass of irregular lump of material = 3 kg

[tex]m[/tex] = mass of fluid displaced = 2 kg

Force of buoyancy on the irregular lump in upward direction is given as the weight of fluid displaced. hence

[tex]F_{b} = mg = (2) (9.8) = 19.6 N[/tex]

weight of the irregular lump of material is given as

[tex]W = mg\\W = (3) (9.8)\\W = 29.4 N[/tex]

Since the weight of lump in down direction is greater than the force of buoyancy in upward direction. hence the lump of material moves in down direction