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Using the following information can someone help me calculate/ find the answers for questions 2-5? I've attached relevant formulas and stuff too! Answers are provided
Using the following information can someone help me calculate/ find the answers for questions 2-5? I've attached relevant formulas and stuff too! Answers are provided in the question I just don't get the working out :)
Standard Data Sheet Numerical values of several constants Charge on a proton/electron, ge #1.60 x 10-19 C Mass of electron, me 9.11 x 10 3 kg Mass of neutron, m, 1.68 x 1027 kg Mass of proton, mp 1.67 x 10-27 kg Magnetic constant, jo 4x x 107 H m' Speed of sound in air 340 ms Earth's gravitational acceleration, g 9.81 ms Speed of light (in vacuum), c 3.00 x 10% ms" Light Year 9.46 x 1015 m Coloumb constant, K 9.0 x 10' N.m.C Universal gravitational constant, G 6.67 x 10-" Nm'kg2 Mass of Earth 6.0 x 1024 kg Mass of Sun 1.99 x 1030 kg Planck's constant, h 6.63 x 10-34 JS Avagadro's Number 6.23 x 1023 Rydberg's constant, RH 1.097 x 10' m' Atomic mass unit, u 1.661 x 10- kg 931.5 MeVic- I ev 1.60 x 10-19 J Density of water, p 1.00 x 10* kg m Specific heat capacity of water 4.18 x 103 Jkg 'K'\fPractice questions These questions are designed to help you apply the main physics concepts relevant to the stimulus. Numerical answers are provided so you can check your work. The exam questions will assess your understanding of the stimulus, the relevant physics, and the working out for the practice questions. 1. Calculate the energy that can be stored by a gravity battery on Earth with a boulder mass of 2.50 x 10 kg that can be lifted to a height of 54.0 m. [1.32 x 10* MJ] 2. Calculate the energy that can be stored by the proposed lunar battery. [1.922 x 10* MJ] 3. Explain why the previous two calculations needed different formulas. 4. Calculate the drop speed of the battery, assuming it falls at a consistent speed. [8.231 x 10"ms"] 5. Calculate the average output emf, power, and current of the generator (you can assume that all the efficiency loss in the power output is due the efficiency of the emf output). [emf = 10,020 V, P = 1.205 MW, / = 120.3 A]Inspired by the article, the engineers have come up with a plan to use a gravity powered battery in a large vertical tube they have found near the planned base site. The battery consists of a large mass boulder suspended from an axle connected to a coil of copper wire. During the period of darkness the mass will be allowed to fall at a controlled drop speed and the coil will act as a generator, supplying power to the base. During the period of sunlight, the coil acts as a motor, using the excess solar energy to lift the mass back to its maximum height. You will focus on the (approximately) two weeks when the battery system works as a generator. Key data and features of the battery Mass of boulder - 1.120 x 10# kg Height of vertical tube - 10.50 km Top of tube is at the Moon's average radius. The tube extends under the surface. Generator building Cable Tube- Boulder Cable holding the mass is wound around a circular axle of radius 21.26 cm This axle is connected to the generator axle via a gearing system that allows the generator to rotate with a frequency 1000 times higher than that the cable axle. Generator coil - single phase rectangular coil Number of turns - 1200 Dimensions - 1.200 m x 2.800 m Magnetic flux density (supplied by a solenoid surrounding the generator) - 0.126T. Overall efficiency of generator - 80% Base maximum power needed - 1.242 MW Maximum current that generator output circuits can handle - 140 A Moon Data Mass - 7.348 x 1022 kg Radius - 1737.4 km Rotation Period - 29.53 daysStep by Step Solution
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