Physics

Problem

A large weather balloon filled with helium is tethered to the ground using a light cable. The total mass of the balloon (skin + gas) is

5\,\text{kg}

, and its volume is

10\,\text{m}^{3}

. Assuming the density of the surrounding air is

1.2\,\text{kg/m}^{3}

and wind is negligible, determine the tension in the cable. (Take

g = 10\,\text{m/s}^{2}