A metal cuboid of length

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

10\,\text{cm}

, breadth

4\,\text{cm}

and height

5\,\text{cm}

is suspended from a spring balance in air. The balance shows a reading of

4.9\,\text{N}

. Take

g = 9.8\,\text{m\,s}^{-2}

. (i) Calculate the mass of the cuboid. (ii) Determine the volume of the cuboid in

\text{m}^3

. (iii) Using your answers to (i) and (ii), find the density of the metal in

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

. (iv) State, with reason, whether this cuboid will sink or float when placed gently on the surface of water

\bigl(\rho_{\text{water}} = 1000\,\text{kg\,m}^{-3}\bigr)