Asphere of plastic of radius = .100 m is completely immersed in water. the density of the plastic is 600 kg/m3. since the plastic would otherwise float it is restrained from moving upward by a thread attached to the bottom of the container. what is the tension in the thread?

To solve this problem we need to use the proportional relationships between density, mass and volume, together with Newton's second law.

The force can be described as

Where,

m = Mass

g = Gravitational acceleration

At the same time the Density can be defined as

Where,

m = mass

V = Volume

Replacing the value of the mass at the equation of Force we have,

Since the difference between the two forces gives us the total Force then we have to

Where

Force of the water

= Force of plastic

Therefore with the values for this force we have,

Therefore the tension in the thread is 16.412N