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- You are stranded on one of the moons of a remote planet. Enough fuel
- remains for but a short burst of rocket power. You calculate that you could
- reach an initial velocity of 1000 meters per second while still close to
- the surface. Is that enough to free you from the gravitational attraction
- of the moon, or will your spaceship fall back to the surface? You need to
- find the "escape velocity" which is the smallest velocity needed to escape.
-
- You don't know much at all about this spherical, non rotating moon; not
- even the mass or the radius. You think you know the density because you
- analyzed some rocks and you assume that the moon is uniform throughout. (If
- you made that assumption on earth you would be way off, but on a small moon
- this may not be such a bad guess). For this exercise I will stipulate that
- you really know the average density and I will indicate the value at the
- top of the screen. I also provide a pendulum, a metric ruler (scaled down)
- to measure it's length and a stop watch (F9). Each time you run the
- assignment I will give you a different moon and a different pendulum.
-
- Your mission, should you decide to accept it, is to find the radius and the
- escape velocity. To help, I will remind you that the value of the
- gravitational constant is G = 6.672 * 10^-11 (m^3 Kg^-1 s^-2) . If you
- don't remember Newton's law or if you need other help read the manual. When
- you are ready, press F2 and enter your answers. GOOD LUCK!
-