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

Answer:

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

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

$F_b = \rho V g$

$F_b = (1000)(\frac{4}{3}\pi r^3)g$

$F_b = (1000)(\frac{4}{3}\pi(0.30)^3)(9.81)$

$F_b = 113.1 \times 9.81$

now from above equation we have

$113.1 \times 9.81 = m\times 9.81$

$m = 113.1 kg$

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