What must be the contact area between a suction cup (completely evacuated) and a ceiling if the cup is tosupport the weight of an 84.7-kg student?Part 1 of 3 - ConceptualizeAs seen in the movies, the suction cups used by burglars to remove glass are about 10 cm in diameter, and itseems reasonable that one of these might be able to support the weight of the student. The face area of a 10-cm cup is approximately A = Tr² × 3(0.05 m)²x 0.008 m².Part 2 of 3 - CategorizeSuction is not a new kind of force. Familiar forces hold the cup in equilibrium, one of which is the atmosphericpressure acting over the area of the cup. This problem is another application of Newton's second law using theparticle-in-equilibrium model.Part 3 of 3 - AnalyzeThe vacuum between cup and ceiling exerts no force on either. The atmospheric pressure of the air below thecup pushes up on it with a force (Patm)(A). If the cup barely supports the student's weight, then the normalforce of the ceiling is approximately zero, and we have the following.EFy = 0 + (Patm)(A) – mg = 0-Solving for the area of the suction cup, we havemgA =atm830.907= 830.907

Name: What must be the contact area between a suction cup (completely evacu
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: What must be the contact area between a suction cup (completely evacuated) and a ceiling if the cup is tosupport the weight of an 84.7-kg student?Part 1 of 3 - ConceptualizeAs seen in the movies, the suction cups used by burglars to remove glass are