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g) If the water tank springs a leak 4/5 m below the surface of the water, then at what speed, v, will the water spray out of the hole in the tank? h) If the area of the hole is 0.01 m², and the tank is cube shaped with 1 m sides, then how fast is the surface of the water dropping due to the leak?

g) If the water tank springs a leak 4/5 m below the surface of the water, then at what speed, v, will the water spray out of the hole in the tank? h) If the area of the hole is 0.01 m², and the tank is cube shaped with 1 m sides, then how fast is the surface of the water dropping due to the leak?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please answer parts g and h, previous parts are answered 

Given, ) FB = PgV M: mas Of the body P: Density of waterz lov0 kglm3 M: 2000K 9 9: 4 celeration due to gravity = 9.dmIs? V: volJme OF the fluid displaced : 01m3 P: bensity of water, FR : 1000 kg )3 x9.8M15ʻ × 0 lm 3 P: lovo nglm3 B = 980 ug mis2 Solution (a) Gven, FB= 980N ( upwaro) Density of gold=20,000 kglm3 Formul a; Density = Mass Volume V: M P mg V: 2000kg 20000 kglm3 こ V: . Im3 balance equation → T+Fg=mg b) FB: buoyani Eorce 2000kg こ .16m3 T+ Yp.g=mg こ12500 kg lm T V : volume P, density of the liguid こ my V= mg -T Fg P, 9 values writing force balance equation , sub all known kx+ Fg =mg 2000X 9.8 - 1 8000 Xx +Vp,9 mg Therf ore, clongationin spring is giwen as, 1000 × 9.8 X = mg- VP, g K Sub all unown vulu, = lom3 X: 2000 X 9.8 -.16x (000 x 9.8 L0000 0 = . 18m
Transcribed Image Text:Given, ) FB = PgV M: mas Of the body P: Density of waterz lov0 kglm3 M: 2000K 9 9: 4 celeration due to gravity = 9.dmIs? V: volJme OF the fluid displaced : 01m3 P: bensity of water, FR : 1000 kg )3 x9.8M15ʻ × 0 lm 3 P: lovo nglm3 B = 980 ug mis2 Solution (a) Gven, FB= 980N ( upwaro) Density of gold=20,000 kglm3 Formul a; Density = Mass Volume V: M P mg V: 2000kg 20000 kglm3 こ V: . Im3 balance equation → T+Fg=mg b) FB: buoyani Eorce 2000kg こ .16m3 T+ Yp.g=mg こ12500 kg lm T V : volume P, density of the liguid こ my V= mg -T Fg P, 9 values writing force balance equation , sub all known kx+ Fg =mg 2000X 9.8 - 1 8000 Xx +Vp,9 mg Therf ore, clongationin spring is giwen as, 1000 × 9.8 X = mg- VP, g K Sub all unown vulu, = lom3 X: 2000 X 9.8 -.16x (000 x 9.8 L0000 0 = . 18m
Question 3 weigh scale Problem 2 Submerging a fake gold statue. A statue of mass 2000 kg is suspended from a massless rope attached to a scale. The statue is fully submerged under water; the density of water is 1000 kg/m³. a) What would the volume of the statue be if it were made of gold? The density of gold = 20,000 kg/m'. b) Make a free body diagram of the submerged statue. c) If the statue were made entirely of gold, what would the magnitude AND direction of the buoyant force be on the statue? d) The tension in the rope is actually 18,000 N, so what is the true volume of the statue? e) In that case, what is the true density of the statue? f) The spring in the weigh scale has spring constant k = 100,000 N/m, so how far is the spring extended from its equilibrium position? g) If the water tank springs a leak 4/5 m below the surface of the water, then at what speed, v, will the water spray out of the hole in the tank? h) If the area of the hole is 0.01 m², and the tank is cube shaped with 1 m sides, then how fast is the surface of the water dropping due to the leak? Im Im
Transcribed Image Text:Question 3 weigh scale Problem 2 Submerging a fake gold statue. A statue of mass 2000 kg is suspended from a massless rope attached to a scale. The statue is fully submerged under water; the density of water is 1000 kg/m³. a) What would the volume of the statue be if it were made of gold? The density of gold = 20,000 kg/m'. b) Make a free body diagram of the submerged statue. c) If the statue were made entirely of gold, what would the magnitude AND direction of the buoyant force be on the statue? d) The tension in the rope is actually 18,000 N, so what is the true volume of the statue? e) In that case, what is the true density of the statue? f) The spring in the weigh scale has spring constant k = 100,000 N/m, so how far is the spring extended from its equilibrium position? g) If the water tank springs a leak 4/5 m below the surface of the water, then at what speed, v, will the water spray out of the hole in the tank? h) If the area of the hole is 0.01 m², and the tank is cube shaped with 1 m sides, then how fast is the surface of the water dropping due to the leak? Im Im
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