Below is a 13-letter phrase with no repeated letters and its space removed, and below it is placed the remaining 13 letters of the alphabet in alphabetic order:
It can be used to make a code so that vertically touching letters substitute, mutually, for one another, such as coding GROVEL as BQEWOH. The phrase PUBLICSERVANT was the key used in this encoding.
Below are the plain text and encoded text of three words, encoded using the same type of scheme, but using a different 13-letter phrase with no repeated letters rather than PUBLICSERVANT.
GLITZY QUAHOG RAMJET
CRBFDN SXPJWC LPVHKF
What was the 13-letter phrase that formed the key to this encoding?
From the 2020 Mensa 365 Brain Puzzlers for 2020 calendar, puzzle for January 21, by Fraser Simpson, Workman Publishing, New York, NY.
A golf ball cannon is made that shoots the ball at a 45 degree angle to the horizontal, and consistently achieves 300 yards.
That cannon is transported to a spherical asteroid which has the same density as the Earth. A golf ball is fired in a horizontal direction and just reaches the velocity for a stable circular orbit.
What is the radius of the asteroid?
What is the time of one orbit?
Assume the radius of the Earth is 4000 miles.
(Inspired by The Longest Drive