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The Infinite Drive (Posted on 2006-02-18) Difficulty: 3 of 5
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)

  Submitted by Larry    
Rating: 3.5000 (2 votes)
Solution: (Hide)
Please see Charlie's solution
http://perplexus.info/show.php?pid=4450&cid=30661

Comments: ( You must be logged in to post comments.)
  Subject Author Date
AnswerK Sengupta2008-12-07 00:50:51
re(2): solution questionCharlie2006-02-19 10:10:48
Questionre: solution questionMindrod2006-02-18 23:47:53
SolutionsolutionCharlie2006-02-18 17:51:00
Muzzle velocityEric2006-02-18 16:13:01
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