2nd Session Model Answer 16) D 1) D 2) 1270m 3) B 4) A 5) A 6) D 7) C 8) C 9) D 10) A 11) B 12) A 13) A 14) c 15) C 𝑃2 = 2𝑃 𝑃 = 𝜌𝑔ℎ 𝑃 = 𝜌𝑔ℎ 𝑃 = 𝑃𝑜𝑖𝑙 + 𝑃𝑤 17) 17.5x106=830x9.8X+1000x9.8x(200 0-x) 17.5x106 = 8134X +1.96x107 – 9800X X= 1270 m 𝑃 = 𝑃𝑏𝑜𝑡 − 𝑃𝑡𝑜𝑝 = 1.1𝑥103 𝑥10(2.2 − 2) = 2.2𝑥103 𝑃𝑎 𝐹 𝑃 = 𝜌𝑔ℎ = 𝐴 𝐹 290 ℎ= = 𝜌𝑔𝐴 930𝑥9.8𝑥0.036 = 0.88 𝑚 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ 110𝑥103 = 100𝑥103 + (1020𝑥10𝑥ℎ) 10𝑥103 = 10200ℎ ℎ = 0.98 𝑚 ≈ 1𝑚 𝑃 = 𝜌𝑔ℎ = 1020𝑥10𝑥10𝑥103 = 108 𝑃𝑎 (𝑚𝑁)(𝑉) 𝐹 = 𝑚𝑎 = = 𝑚𝑛𝑉 𝑡 = 6.6𝑥10−27 𝑥5𝑥104 𝑥1.5𝑥107 = 4.95𝑥10−15 𝑁 𝐹 4.95𝑥10−15 𝑃= = 𝐴 1𝑥10−4 = 4.95𝑥10−11 ≈ 5𝑥10−11 𝑃𝑎 𝑃 = 𝜌𝑔ℎ = 1000𝑥9.8𝑥0.3 = 2940 𝑃𝑎 𝑃𝑡𝑜𝑡𝑎𝑙 = 100000 + (1030𝑥80𝑥9.8) = 907520 ≈ 900000 Same as (5) 𝑃 = 𝜌𝑔ℎ 15200 = 10𝑥0.8𝑥𝜌 𝜌 = 1900 𝑘𝑔/𝑚3 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ (450 − 100)𝑥103 = 1030𝑥9.8ℎ ℎ = 34.6 𝑚 𝑃 = 𝜌𝑔ℎ 100𝑥103 = 13.6𝑥103 𝑥9.8ℎ ℎ = 0.75 𝑚 𝑃1 = 𝑃2 800 𝑋 = 1200 𝑌 P1 = 800x15=12000 P2= 1200x10=12000 18) c 𝑃1 𝑃2 𝜌 ℎ 𝑃 1800𝑥20 19) 1- B 2Closed “B”, Opened “A” 20) 21) 22) A 23) C a- 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ Closed “A”, Opened “B” b- 𝑃𝑎 c- 𝑆𝑙𝑜𝑝𝑒 (𝐴) > 𝑆𝑙𝑜𝑝𝑒(𝐵) 𝜌(𝐴) > 𝜌(𝐵) a- 𝑃𝑎 b- 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ c- 𝑆𝑙𝑜𝑝𝑒 (𝐴) > 𝑆𝑙𝑜𝑝𝑒(𝐵) 𝜌(𝐴) > 𝜌(𝐵) 𝑃 = 𝑃𝑤 + 𝑃𝐻𝑔 = 103 𝑥0.5𝑥9.8 + 13600𝑥9.8𝑥0.1 = 1.8𝑥104 𝑁/𝑚2 𝑃 = 𝜌𝑔ℎ 𝑃∝𝜌 𝜌𝑘 < 𝜌𝑤 → 𝑃𝑎 < 𝑃𝑏 24) D 25) AA- 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ 1.11𝑥105 = 1.013𝑥105 + (1030𝑥10𝑥1) 𝑁 𝑁/𝑚2 = 1.11𝑥105 2 B𝑚 B- 𝐹 = 𝑃 𝑥 𝐴 5569.7 𝑁 26) C 27) A) C A- 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ = 1.013𝑥105 + 𝑁 B) A 800𝑥0.2𝑥9.8 = 1.02868𝑥105 𝑚2 B𝐹 =𝑃𝑥𝐴= 1.028𝑥105 𝑥0.4𝑥0.6 = 24688.3 𝑁 28) i) B ii) A iii) B 1 = 𝜌1 ℎ1 → 𝑃 = 1200𝑥60 = 2 2 2 1- A ) d b) d c) b 2- A)e b) e d) a P= Pa + 𝜌𝑔ℎ(𝑠𝑢𝑟𝑓𝑎𝑐𝑒 𝑡𝑜 𝑝𝑜𝑖𝑛𝑡 𝑎) = Pa+ 𝜌𝑔 (H-h) = Pa + 𝜌𝑔𝐻 - 𝜌𝑔ℎ 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ 𝑆𝑙𝑜𝑝𝑒 = 𝜌𝑔 29) C 2 1 𝑃 = 𝑃𝑎 + 𝑃𝑜𝑖𝑙 + 𝑃𝐻2𝑂 + 𝑃𝐻𝑔 = 1.013𝑥105 + (7200𝑥10𝑥0.5) + (1000𝑥10𝑥0.2) + (13600𝑥10𝑥0.1) 𝑁 = 120400 2 𝑚 𝐹 = 𝑃 𝑥 𝐴 = 120400𝑥100𝑥10−4 = 1204 𝑁 𝑃 = 𝑃𝐻2𝑂 + 𝑃𝐻𝑔 = 1000𝑥10𝑥0.1 + 13600𝑥10𝑥0.1 𝑁 = 14600 2 𝑚 𝑃 = 𝜌𝑔ℎ 30) B 31) A 32) B 33) A 34) C 3.4𝑥1.013𝑥105 = 1000𝑥10𝑥ℎ ℎ = 34.442 𝑚 𝑃 = 𝜌𝑔ℎ = 1000𝑥 9.8𝑥20 = 196000 𝑃 = 𝑃𝑎 + 𝜌𝑔ℎ = 105 + (1000𝑥 10 𝑥6) = 1.6𝑥105 𝑁/𝑚2 𝐹 ↑ 𝑚𝑔 ↑𝑃= = 𝐴 ↑𝐴 𝐹 2𝑃 = 1 𝐴 Decreasing area to half 2 35) A 36) C 37) A 38) B 39) B keeping the force constant, therefore pressure increases to double. 𝑃 = 2𝑥2.5𝑥105 = 5𝑥105 𝑁/𝑚2 𝐹 ↑𝑃= ↓𝐴 𝑃= 𝑃= 𝐹 𝐹𝑐 𝑃𝑎 𝐴𝑐 20𝑥20 1 = = = 𝐴 𝐹𝑐𝑑 𝑃𝑎 𝐴𝑐𝑑 20𝑥40 2 𝐹 𝑚𝑔 𝜌𝑉𝑔 𝜌𝐴𝑋𝑔 = = = = 𝜌𝑋𝑔 𝐴 𝐴 𝐴 𝐴 𝑃 →𝜌= 𝑋𝑔 2