Question

A sphere completely submerged in water is tethered to the bottomwith a string. The tension in the string is one-third the weight ofthe sphere.What is the density of the sphere in kg/m^3?

Answer 1

1500 kg/m³

Step-by-step explanation:

tension = Apparent weight = 0ne third of the weight of sphere

Let the true weight = W

Buoyant force = True weight - Apparent weight

Volume x density of water x g = W - W/3

V x 1000 x g = 2 W/ 3

V x 1000 x g = 2 x V x d x g / 3

Where, d is the density of sphere

1000 = 2d/3

d = 3000 / 2

d = 1500 kg/m³

Thus, the density of sphere is 1500 kg/m³.