Come on lucky number seven

Classical Mechanics Level 5

A cubic dice is sliding on a frictionless table. The dice is a cube with edges of length 1 cm and a mass of 30 g. A kid reaches down and gives a horizontal flick to the dice, causing it to change which face is up. What is the minimum impulse in g~cm/s the kid must give to the dice in order to change the face?

Details and assumptions

  • The acceleration of gravity is \(-9.8~m/s^2\).
  • You can model the dice as a perfect cube of uniform density.
  • The dice never leave the table

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