Question

Please show work in as step-by-step manner explanation using F_B = F_B_buoys+F_B_chest = m_chest*g

Archimedes Lab

You have a rubber ball having a radius of 0.5 m, a rubber cylinder have a height of 0.2 m and a radius of 0.3 m, and rubber cube have a side length of 0.2 m. Assume they have very little mass, so their weight can be ignored. You have 3 m by 2 m by 1 m treasure chest that has a mass of 10000 kg.

1) How many spheres do you need to attach to the chest for it to float to the surface? Assume your spheres are massless and are completely submerged.

2) How many cylinders do you need to attach to the chest for it to float to the surface? Assume your cylinders are massless and are completely submerged.

3) How many cubes do you need to attach to the chest for it to float to the surface? Assume your cubes are massless and are completely submerged.

4) What is the waterline of the chest if you attach 1 spheres, 10 cylinders, and 800 cubes to the chest? Assume your spheres, cylinders, and cubes are massless and are completely

submerged.

Answer 1