(a) (60 pts) Your weight is proportional to g (mathematically: weight = mass g). Calculate your weight on the different planetary bodies listed below by filling entries in the following table. I know you can't really stand on the surface of the gas-giant planets, but pretend you can. Remember that the radius is half the diameter and beware of units. The writeup for Lab 1 tells you how to calculate g from the gravitational constant G, the mass m of the planet, and the radius r of the planet. Then, calculate g for each planet, the g relative to the Earth, and finally your weight in each planet, using your known weight on Earth (it's OK to lie about your weight, if you consider this too personal). You can look up the mass and mean radii of the planets or moons on Wikipedia. This problem is most easily done using a spreadsheet like Microsoft Excel, Apple Numbers, or Google Sheets and is a good way to get familiar with this way of calculating things. Planet Mass (kilograms) Radius (meters) g (m s ) Earth g relative to Earth 1 Weight* Weight* (lbs) (kg) Moon Mercury Venus Mars Phobos Jupiter Europa Saturn Titan Uranus Neptune Triton Pluto Charon