Physics

Problem

A solid iron cube of edge

10\,\text{cm}

is gently released from rest in a large tank of water. a. (i) Calculate the volume of water displaced when the cube is completely immersed. b. (ii) Calculate the buoyant force acting on the cube. Take density of water

=1000\,\text{kg\,m}^{-3}

and

g=10\,\text{m\,s}^{-2}

. c. (iii) The density of iron is

7800\,\text{kg\,m}^{-3}

. Compare the weight of the cube with the buoyant force obtained in part (ii) and state whether the cube will sink or rise after being released. Give a reason based on your calculation.

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