A metal object is suspended from a spring scale. The scale reads 943 N when the object is suspended in air, and 799 N when the object is completely submerged in water.

a. Find the volume of the object. The acceleration of gravity is 9.8 m/s². Answer in units of m³.

b. Find the density of the metal. Answer in units of kg/m³.

a) Volume of object is 0.015 m³b) Density of metal is 6408.43 kg/m³

Explanation:

a) Buoyancy force = Volume x Density of fluid x Acceleration due to gravity

Buoyancy force = Weight in air - Weight in water

Buoyancy force = 943 - 799

Buoyancy force = 144 N

Volume x Density of water x Acceleration due to gravity = 144

V x 1000 x 9.81 = 144

V = 0.015 m³

Volume of object is 0.015 m³

b) Weight of metal = 943 N

Mass of metal x Acceleration due to gravity = 943

Mass of metal = 96.13 kg

Volume of metal = 0.015 m³

Density of metal = Mass of metal : Volume of metal

Density of metal = 96.13 : 0.015

Density of metal = 6408.43 kg/m³