Question

A sphere of volume 1.20×10−3m3 hangs from a cable. When the sphere is completely submerged in water, the tension in the cable is 29.4 N. What is the buoyant force on the submerged sphere?

Answer 1

The buoyant force on the submerged sphere is 11.76 N.

Step-by-step explanation:

According to Archimedes' principle, the buoyant force is equal to the weight of water displaced by the submerged object. In this case, the volume of the sphere is given as 1.20×10−3m3. We can calculate the weight of the water displaced using the density of water (1000 kg/m³) and the acceleration due to gravity (9.8 m/s²).

Buoyant Force = Weight of Water Displaced

Buoyant Force = (Density of Water) x (Volume of Sphere) x (Acceleration due to Gravity)

Buoyant Force = (1000 kg/m³) x (1.20×10−3m³) x (9.8 m/s²)

Buoyant Force = 11.76 N