11/9/2017 11:00 PM 4 53.6/100 11/7/2017 07:25 PM Print l Calculator estion 6 of
ID: 1776482 • Letter: 1
Question
11/9/2017 11:00 PM 4 53.6/100 11/7/2017 07:25 PM Print l Calculator estion 6 of 14 Map c Sapling Learning A child playing in a swimming pool realizes that it is easy to push a small inflated ball under the surface of the water while a large ball requires a lot of force. The child under the surface) which is being forced under the surface of the water. If the child needs to supply 635 N to totally submerge the ball, calculate the diameter of the ball. The density of water is pw 1.000 x 103 kg/m 3 the density of styr foam is A = 95.0 kg/m 3 and the acceleration due to gravity is g = 9.81 m/s?Explanation / Answer
Archimedes principle .. upthrust force = weight of water displaced
As submerged ball is in equilibrium, net downward force (F) = upthrust
F = ball weight (Vb.s.g) + 635N ------ (1)
Upthrust = weight of water displaced (Vb.w.g) ----- (2)
F = Upthrust .. (1) = (2)
(Vb.s.g) + 635 = (Vb.w.g)
Vb = 635 / g(w - s) = 635 / [9.81(1000 - 95)] .. .. Vb = 0.0715 m²
Vb = 4/3r³ = 0.0715 m² .. r = .2574m
Diameter = 2r = 2 x 0.238m .. .. D = 0.5148 m
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.