Arubber ball filled with air has a diameter of 24.2 cm and a mass of 0.459 kg. what force is required to hold the ball in equilibrium immediately below the surface of water in a swimming pool? (assume that the volume of the ball does not change. indicate the direction with the sign of your answer.)

To solve this problem, it is necessary to apply the concepts related to Newton's second Law as well as to the expression of mass as a function of Volume and Density.

From Newton's second law we know that

F= ma

Where,

m = mass

a = acceleration

At the same time we know that the density is given by,

Our values are given as,

D=0.242 m

Therefore the Force by Weight is

Now the buoyant force acting on the ball is

The value of the Volume of a Sphere can be calculated as,

Normal conditions

Then,

Therefore the Force net is,

Therefore the required Force is 68.218N

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