Problem 1: We saw the demonstration of the upside down cup in class today. For the card to maintain contact with the glass, the forces acting up must be greater than the forces acting down. Calculate the maximum pressure at the top of the cup in a 0.5 cm gap at the top. The cup is filled with a volume of 450 cm³, assuming an atmospheric pressure of 101 kPa, and dimensions of the card of 6 cm x 4 cm.Assume a cylindrical glass with a diameter of 3.4 cm and the density of water is 1.0g/cm³. Don't be afraid if the number is not what you expect, but explain what it means.