A magician wants to do the trick in which he pulls a tableclothfrom a table, leaving the items on the table behind, unmoved. Itturns out that this isn't magic at all, but simple physics. Let'sassume that the tablecloth has to be slide horizontally a distanceof 50 cm before it has slipped out from underneath a dish that layson top of it. If the tablecloth's mass is 10 grams and the dish hasa mass of 8 grams, and the coefficient of friction between the dishand the tablecloth is 0.412, determine the horizontal force withwhich the magician must pull the tablecloth if he wants the dish toonly move an imperceptibly small 1 mm during while the tableclothis being removed? Assume the the coefficient of friction betweenthe tablecloth and the table is 0.5.
