Question

Three spheres (water, iron and ice) of the exact same volume are submerged in a tub of water. After the spheres are lined up, they are released. The spheres are made of plastic with the same density as water, ice, and iron.

Required:
a. Compare the weights of the three spheres.
b. Compare the buoyant forces on the three spheres.
c. What direction does the net force push on each of the spheres?
d. What happens to each sphere after it is released?

Answer 1

a. The weights of the three spheres will be equal since they have the same volume and density. c. The net force on each sphere will be zero, causing them to remain submerged. d. After being released, the spheres will stay in the same position and continue to be submerged.

Step-by-step explanation:

Since the three spheres have the same volume and density as water, ice, and iron, their weights will be equal. This is because weight is determined by the mass of an object and the acceleration due to gravity, both of which are the same for the spheres.

The net force on each sphere will be zero since the weight of the sphere is equal to the buoyant force. This means that the spheres will neither sink nor float, but remain submerged in the tub of water.

After the spheres are released, they will stay in the same position since the net force on each sphere is zero. They will continue to be submerged in the water without any change in their position or movement.

Answer 2

(a) Iron > plastic > ice

(b) Same on all

(c) Iron downwards, plastic net force zero, ice upwards.

(d) Iron sphere sinks, plastic sphere is in equilibrium and ice sphere will floats.

Step-by-step explanation:

Three spheres have same volume , plastic, ice and iron.

(a) The weight is given by

Weight = mass x gravity = volume x density x gravity

As the density of iron is maximum and the density of ice is least so the order of the weight is

Weight of iron > weight of plastic > weight of ice

(b) Buoyant force is given by

Buoyant force = Volume immersed x density of fluid x g

As they have same volume, density of fluid is same so the buoyant force is same on all the spheres.

(c) Net force is

F = weight - buoyant force

So, the net force on the iron sphere is downwards

On plastic sphere is zero as the density of plastic sphere is same as water. On ice sphere it is upwards.

(d) Iron sphere sinks, plastic sphere is in equilibrium and ice sphere will floats.