The life of the sugar ant

An ant wants to take a big piece of candy with mass m=5 gm = 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=0.5k = 0.5
  • The gravitational acceleration is g=9.8 m/s2g = 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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