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Imagine a hypothetical planet: it has a radius of 3800km, consists completely of liquid methane with...

Imagine a hypothetical planet: it has a radius of 3800km, consists completely of liquid methane with a density of 0.4 g/cm3, and has a gaseous atmosphere with a density of 0.1 g/cm3. A test baloon is dropped onto this planet, which consists of a helium spherical balloon (1 m3, mass 15 kg) and a box of test equipment (10cm x 10 cm x 10cm, mass 4kg) attached by a 10m long rope. Consider the case when the box is in the liquid methane and the balloon is at the surface. Calculate the motion of the box and draw x(t), v(t), and a(t) diagrams until the boxes reaches the surface, quantitatively.

G = 6.67 *10-11 m3/(kgs2)

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