The life of the sugar ant

Classical Mechanics Level 3

An ant wants to take a big piece of candy with mass \(m = 5~\mbox{g}\) back to its colony. Find the minimum force it needs to move the candy piece (in mN).

Details and assumptions

  • The friction coefficient between the candy and the ground is \(k = 0.5\)
  • The gravitational acceleration is \(g = 9.8~\mbox{m/s}^2\).
  • The surface the ant moves the candy on is perfectly horizontal.
  • Do not assume anything unwarranted about the directions of the forces involved.

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