(3) \( 2.28 \times 10^{5} \mathrm{~N} \) 28. A tapered pressurised tank for a rocket contains \( 0.25 \mathrm{~m}^{3} \) of kerosene, with mass \( 205 \mathrm{~kg} \). The pressure at the top of the kerosene is \( 2.01 \times 10^{5} \mathrm{~Pa} \). The kerosene exerts a force of \( 16.4 \mathrm{kN} \) on bottom having area \( 0.07 \mathrm{~m}^{2} \). Find the depth of the kerosene. (1) \( 2.1 \mathrm{~m} \) (2) \( 0.29 \mathrm{~m} \) (3) \( 0.414 \mathrm{~m} \) (4) \( 4.14 \mathrm{~m} \)
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A tank is $8 \mathrm{m}$ long. $4 \mathrm{m}$ wide, $2 \mathrm{m}$ high, and contains kerosene with density $820 \mathrm{kg} / \mathrm{m}^{3}$ to a depth of $1.5 \mathrm{m}$. Find (a) the hydrostatic pressure on the bottom of the tank, (b) the bydrostatic force on the bottom, and (c) the hydrostatic force on one end of the tank.
Applications of Integration
Applications to Physics and Engineering
A tank is 8 m long, 4 m wide, 2 m high, and contains kerosene with density $ 820 kg/m^3 $ to a depth of 1.5 m. Find (a) the hydrostatic pressure on the bottom of the tank, (b) the hydrostatic force on the bottom, and (c) the hydrostatic force on one end of the tank.
Further Applications of Integration
A scuba diver's tank contains 0.29 kg of O2 compressed into a volume of 2.3 L. 1. Calculate the gas pressure inside the tank at 7 C. Express your answer using two significant figures in atm 2. What volume would this oxygen occupy at 25 C and 0.97 atm? Express your answer using two significant figures in Liters
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