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For almost four millennia, the Pyramid of Khufu (aka The Great Pyramid of Giza) was the tallest man-made structure in the world, and it remains the only one of the Seven Wonders of the Ancient World that is still essentially intact. This is a square pyramid, with a base side length (L) of 813 feet [ft]. The volume (V) of the pyramid is 2.946 ×109 liters [L]. The volume (V) of a pyramid with a square base is given by
What is the height (H) of the pyramid in units of cubits?
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- Consider the piston-cylinder assembly shown below. Heavy weights are added to the piston, compressing the gas. Assume that the gas reaches an internal pressure of 1.5 bar after the compression is done. The pressure outside the piston-cylinder is 1 bar. We also know that the piston diameter is 20 [cm.] With how much force doe the gas push upward on the piston (in Newtons?) Weights Piston System boundary Gas Ро garrow_forwardWhat volume (in m3) of natural gas would it take to generate 5.94 x 108 J of energy if the energy content of natural gas is 36.9 MJ/m3 [round your final answer to one decimal place]?arrow_forwardNASA sent a probe to Saturn's moon Titan, where the acceleration due to gravity is 1.4 meters per second squared [ms2]. Titan's atmospheric pressure is 1.3 times Earth's atmospheric pressure at sea level. The probe landed in a lake of liquid methane, which has a density of 0.454 kilograms per liter [kgL]. Since the probe weighs 300 pounds-force [lbf] on Titan and has a volume of only 1.2 cubic feet [ft3], it immediately sank. It now sits 65 feet [ft] below the surface of the lake. The lake has a surface area exposed to the atmosphere of 24500 square meters [m2]. What is the total pressure exerted on the probe, in pascals [Pa]?arrow_forward
- If a ball is dropped from a height (H) its velocity will increase until it hits the ground (assuming that aerodynamic drag due to the air is negligible). During its fall, its initial potential energy is converted into kinetic energy. If the ball is dropped from a height of 680 centimeters [cm], and the impact velocity is 38 feet per second [ft/s], determine the value of gravity in units of meters per second squared [m/s2].arrow_forwardRebar is often made of steel and is commonly used to reinforce concrete. One of the rebar pieces has a circular cross-sectional area, a Young's Modulus of 198 gigapascals [GPa), and yields at a force of 27 kilopounds-force [kip]. At this force, the rebar has a strain of 0.00367 inches per inch [i]. Determine the radius of the rebar in units of inches [in]. harrow_forwardAn engineer is using an electric winch to help construct a new part of the habitat on Mars. The winch is 69% efficient. The winch lifts an object with a weight of 1800 pound-force [lbf] to a height of 14 meters [m] in one minute [min]. Determine the required input power of the winch in watts [W].arrow_forward
- K The Curiosity rover landed on Mars on August 6, 2012, and is currently exploring the surface. Curiosity uses a radioisotope thermoelectric generator (RTG) to provide power for all operations. The Curiosity RTG has a maximum output of 110 watts [W], and loses 2000 watts [W] as heat. By comparison, Viking 1 spacecraft launched in 1975. The Viking 1 has an input power of 0.75 horsepower [hp] and loses 525 watts [W] to heat. Which device is more efficient? Click the icon to view the convertion table for power. atic) S The efficiency of Curiousity is%. (Round your answer to one decimal place.) Get more help - mce&style=highered&disableStandbyIndicator=true&assignmentHandles Locale=true# 6 MacBook Pro & 7 = *00 BETERE 8 9 C ) 0 Clear all P I' Check answer 11 + =arrow_forwardThe following processes occurs in a reversible thermodynamic cycle: 1-2: Reversible polytropic compression at pressure [X] bar at volume [Y] m3 to a pressure [Z] bar and specific volume [A] m3/kg. The index of compression may be taken as n. 2-3: Reversibly expansion with expansion index of 2 to pressure [B] bar. 3-1: Reversible cooling at constant volume to the initial state. What are the final attempt values of X, Y, Z, A and B from the Part A of the eThuto Assessment. calculated formula similar question? X= ; Y= ; Z= ; A= ; B=arrow_forwardT1- Ambient tempeture [k] t- inside tempeture [k] hoo-convective heat transfer coefficient of the air [W/m^2*k] t-thickness of walls[m] Kthermal conductivity (W/m-K) -(VIP) d-cube size [m] Ai-cube area inside [m^2] Ao-cube area outside [m^2] Ts-surface tempeture[k][ E-emissivity aluminium foil - Stefan Boltzmann constant W·m-2 K-4 303 290 10 0.08 0.007 1 6 6.96 300 0.03 5.67E-08 Q heat flux [W] ΔΤ ΣR F T₁ 111.0 0000 006%arrow_forward
- A heat recovery system (HRS) is used to conserve heat from the surroundings and supply it to the Mars Rover. The HRS fluid loops use Freon as the working fluid. The instrumentation must be kept as a temperature greater than −67 degrees Fahrenheit [°F] to avoid damage. The temperature in the area of Mars where the rover is exploring is 189 kelvins [K]. If the system must remove 47.4 British Thermal Units [BTU] of energy, what volume of Freon is needed in units of liters [L]?arrow_forwardA backup electric generator for a home is connected to a tank containing 95gallons [gal] of liquid propane. Combustion of liquid propane releases 50 megajoules of heat energy per kilogram [MJ/kg] of propane. Liquid propane has a specific gravity of 0.493. (a) Determine the total energy that can be provided by the combustion of the entire tank of propane. Express the total energy in units of joules [J] using an appropriate SI prefix so that one, two or three digits appear to the left of the decimal point.arrow_forwardA heat pump is used to heat a house. The heat loss of the house at a time when the outside temperature is A ° C is B kJ / h. The interior temperature of the house is C ° C. If the coefficient of action (COPIP) of the heat pumpis D under these conditions ,a) The power consumed by the heat pump [kW],b) The heat transferred from the cold outside air to the heat pump [kJ / h]c) If the heat pump is considered to work reversibly,calculate the COPIP.arrow_forward
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