Answer to Question #184956 in Civil and Environmental Engineering for John Prats

Question

A man of mass 65 kg stands on a solid floating on water. If the solid has a density of 0.6 g/cm³ and the man standing on it is just barely out of the surface of the water, determine the volume of the solid.

Answer 1

Density of object=0.6g/cm³

Mass of man= 65kg

Let assume the weight of water displaced=700N

The weight of man=65kg x 10N/kg

The weight of man=650N

The weight of object=700N-650N

the weight of object=50N

The mass of object=50N/10N/kg

The mass of object=(5x1000)g

The mass of object=5000g

Volume of the object=Mass of the object/Density of the object

Volume of the object=5000g/0.6g/cm³

Volume of the object=8333.3cm³