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A balloon filled with gaș has a radius R and mass M. The gas was extracted...

A balloon filled with gaș has a radius R and mass M. The gas was extracted from the Moon and will be launched into Earth by a rocket. Before taking off, the center of the balloon is at a height d. The rocket ignites and gives the balloon F. a constant push up. While the rocket is on, it sinks the surface of the glube a distance r.

1. Calculate the kinetic energy of the balloon when it is at a height h. Take g as the intensity of the gravitational field on the Moon.

2. How much work was the rocket doing on the balloon?

3. Find the change in the internal energy of the globe.

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