Question

A metallic block of 6 kg is dropped into a water tank. The volume of the block is given to be 3 × 10^–3 ​m³and density of water is 10³ kg/m³. Find
(a) Buoyant force in the block
(b) Density of metallic block.
(c) Whether it sinks in water.

Answer 1

Dear student,
a) Buoyant force =
$$\begin{gathered} B={\rho }_{w}g{V}_w \\ Here{V}_w,volumeofdisplacedwater=V_{c,}Volumeoftheblock \\ B=1000kg/m^3\times 10m/s^2\times 3\times {10}^{-3}{m}^3 \\ B=30N \end{gathered}$$
b) Density of block = mass of block/volume of block = 6 kg/ 3 x10^-3 = 2000 kg/m³
c) Density of block is more then water it will sink.
Regards