Ganymede is a satellite of the planet Jupiter, like the Moon for Earth. Using the data below, determine:

1. the acceleration of gravity \(g_{G}\) on Jupiter (for comparison, the acceleration of gravity on Earth is \(9.81 \mathrm{~m} / \mathrm{s}^{2}\) );

2. the mass density of Jupiter;

3. the period of revolution of Ganymede around Jupiter, expressed in Earth days;

4. the escape velocity of an object from Jupiter's surface (for comparison, the escape velocity from Earth is \(11.2 \mathrm{~km} / \mathrm{s}\) ).

Numerical data. Mass of Jupiter; \(1.90 \times 10^{27} \mathrm{~kg}\); Mass of Ganymede; \(1.48 \times 10^{23} \mathrm{~kg}\); Radius of the orbit of Ganymede; \(1.07 \times 10^{6} \mathrm{~km}\); Radius of Jupiter: \(69.9 \times 10^{3} \mathrm{~km} ; G: 6.67 \times 10^{-11} \mathrm{~N} \mathrm{~m}^{2} / \mathrm{kg}^{2}\).