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. Better take this problem seriously…the future of humanity may depend on your answer!
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. Better take this problem seriously…the future of humanity may depend on your answer!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
