Question

What is the maximum mass that can hang without sinking from a 60-cm diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere.

Answer 1

the maximum mass suspended to the styrofoam sphere is m = 113.1 kg

Step-by-step explanation:

The weight due to suspended mass is counterbalanced by the buoyancy force on the sphere

So here we will say

`F_b = mg`

as we know that the maximum buoyancy force that will act on the styrofoam sphere is given as

`F_b = \rho V g`

`F_b = (1000)((4)/(3)\pi r^3)g`

`F_b = (1000)((4)/(3)\pi(0.30)^3)(9.81)`

`F_b = 113.1 * 9.81`

now from above equation we have

`113.1 * 9.81 = m* 9.81`

`m = 113.1 kg`

so the maximum mass suspended to the styrofoam sphere is m = 113.1 kg