Ahelium balloon of volume v = 0.030 m3 is held by a lightweight string that is tied to a desk. the mass of the un-inflated balloon is m0 = 0.014 kg. the helium inside the balloon has a density of rhe = 0.18 kg/m3 . the density of air is rair = 1.2 kg/m3 .

(a) draw a fbd for the balloon and find the magnitude of the tension t in the string.
(b) the string is then cut. draw an fbd for the balloon immediately afterwards. find the initial acceleration a of the balloon, give magnitude and direction.
(c) after some time, the balloon attains a terminal velocity vt . draw an fbd for the balloon at this time. find vt , give magnitude and direction