6. We’ve learned that incredibly intelligent (and superior) aliens from the planet Splorg are planning toinvade the Earth. However, they have first decided to determine how smart we humans are. If theydeem us smart enough, they might reconsider their planned invasion. To evaluate our intelligence, theyhave asked us to get our Physics class to figure out at what radial distance they would need to orbit asatellite so that it always remained at the same location above the Splorigian equator (i.e. insplorgeosynchronous orbit). They also want to know what velocity they’d need their spacecraft toreach in order for it to escape the gravity of Splorg when the time comes to invade Earth. Here’s theinformation they gave us: a day on Splorg lasts the equivalent of 31.7 hours. At the equator, Splorg hasa circumference of 54,660 km. Finally, they’ve told us that it takes a 2 kg mass exactly 0.56 s to fall adistance of 2 m at the surface of Splorg
6. We’ve learned that incredibly intelligent (and superior) aliens from the planet Splorg are planning to
invade the Earth. However, they have first decided to determine how smart we humans are. If they
deem us smart enough, they might reconsider their planned invasion. To evaluate our intelligence, they
have asked us to get our Physics class to figure out at what radial distance they would need to orbit a
satellite so that it always remained at the same location above the Splorigian equator (i.e. in
splorgeosynchronous orbit). They also want to know what velocity they’d need their spacecraft to
reach in order for it to escape the gravity of Splorg when the time comes to invade Earth. Here’s the
information they gave us: a day on Splorg lasts the equivalent of 31.7 hours. At the equator, Splorg has
a circumference of 54,660 km. Finally, they’ve told us that it takes a 2 kg mass exactly 0.56 s to fall a
distance of 2 m at the surface of Splorg
Step by step
Solved in 6 steps with 9 images
