1. Callisto is Jupiter's second largest moon and the third largest moon in our solar system....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Callisto is Jupiter's second largest moon and the third largest moon in our solar system. It's about the same size as Mercury. Let's assume that Callisto's icy surface has completely melted when an alien ship lands on a solid island on this moon. a) The surface of the island is described by z=- − ( ²² +²²) +1 in kilometers. Plot, in MATLAB, the 3D surface of the island above the water, label the axes. b) What is the maximum height and the diameter of the island, assuming that the level of the ocean is at z = 0? c) Show three level curves of the island's surface on a 2D map, starting with level z= 0. d) Landing on Callisto is hard. The alien spaceship has two options for landing: at locations (x = 2, y = 2) or (x = 1/2, y = 1/2). Which coordinates will land the ship on solid ground? e) Assuming the alien ship landed safely (choose the appropriate coordinates from part d), a lander is deployed to the ground. For better reception the lander's antenna pole has to be positioned perpendicular to the ground surface. Find the orientation of the pole, by estimating the outward surface normal vector N to the surface at that location. f) Unfortunately, the lander has faulty brakes and starts to slip. Find the 3D unit vector indicating the direction of motion from the landing position. Hint: In MATLAB quiver and contour require the use of the meshgrid first. To get a good picture, you generally need a closely spaced mesh for contour, but a sparser one for quiver. Note: Your answer to this question should include a printout of the published MATLAB script used to generate the plot. Add always comments to the code, which is part of "Mathematical arguments should be clearly and logically expressed" marking section. 1. Callisto is Jupiter's second largest moon and the third largest moon in our solar system. It's about the same size as Mercury. Let's assume that Callisto's icy surface has completely melted when an alien ship lands on a solid island on this moon. a) The surface of the island is described by z=- − ( ²² +²²) +1 in kilometers. Plot, in MATLAB, the 3D surface of the island above the water, label the axes. b) What is the maximum height and the diameter of the island, assuming that the level of the ocean is at z = 0? c) Show three level curves of the island's surface on a 2D map, starting with level z= 0. d) Landing on Callisto is hard. The alien spaceship has two options for landing: at locations (x = 2, y = 2) or (x = 1/2, y = 1/2). Which coordinates will land the ship on solid ground? e) Assuming the alien ship landed safely (choose the appropriate coordinates from part d), a lander is deployed to the ground. For better reception the lander's antenna pole has to be positioned perpendicular to the ground surface. Find the orientation of the pole, by estimating the outward surface normal vector N to the surface at that location. f) Unfortunately, the lander has faulty brakes and starts to slip. Find the 3D unit vector indicating the direction of motion from the landing position. Hint: In MATLAB quiver and contour require the use of the meshgrid first. To get a good picture, you generally need a closely spaced mesh for contour, but a sparser one for quiver. Note: Your answer to this question should include a printout of the published MATLAB script used to generate the plot. Add always comments to the code, which is part of "Mathematical arguments should be clearly and logically expressed" marking section.
Expert Answer:
Answer rating: 100% (QA)
a To plot the 3D surface of the island we can use the surf function in MATLAB The equation of the surface is given by z x2 y2 1 We can define a range ... View the full answer
Related Book For
Financial Accounting
ISBN: 978-1259914898
5th edition
Authors: David Spiceland, Wayne M. Thomas, Don Herrmann
Posted Date:
Students also viewed these mechanical engineering questions
-
The uniform slender bar of mass m and length / pivots freely at point O of the slider. The slider moves along the horizontal rod with a constant acceleration a = 3g. Determine the steady-state value...
-
Prepare any necessary adjusting entries at December 31, 2011, for Madison Companys year-end financial statements for each of the following separate transactions and events. 1. During December,...
-
Prepare any necessary adjusting entries at December 31, 2015, for Maxum Company's year-end financial statements for each of the above separate transactions and events...... Listed below are a few...
-
Rocket Science A rocket has total mass Mi = 360 kg, including 330 kg of fuel and oxidizer. In interstellar space it starts from rest, turns on its engine at time t = 0, and puts out exhaust with...
-
In approximately 100 words, define the term reserve price and explain how the use of a reserve price can affect the progress and outcome of an auction.
-
What are the ways that receivables management can affect a firm's value?
-
What are the three main techniques used to analyze capital budgeting projects? Discuss the advantages and disadvantages of each method.
-
The adjusted trial balance columns of the worksheet for Taj Company, owned by Gabby Taj, are as follows. Instructions(a) Complete the worksheet by extending the balances to the financial statement...
-
Describe the complexities related to expatriate executive assignments and the complexity of the international compensation balance. Include in the analysis the perquisites management. Describe the...
-
Adden Company signs a lease agreement dated January 1, 2019, that provides for it to lease non-specialized heavy equipment from Scott Rental Company beginning January 1, 2019. The lease terms,...
-
What is the output of below codes? Provide reasons why you arrive at such conclusion, by explaining how the codes work. def cube (n): while True: yield n*n*n if n > 0: n-n- total = 0 for i in cube...
-
First National Bank has made a 5-year, $100 million fixed-rate loan at 10%. Annual interest payments are $10 million, and all principal will be repaid in year 5. The bank wants to swap the fixed...
-
What is the difference between IMF and World Bank. What are Special Drawing Rights Why were they created?
-
Four Seasons Resort spay sa $0.25 dividend every quarter and will maintain this policy forever. What price should you pay for one share of common stock if you want an annual return of 10% on your...
-
Cartman Enterprises will raise $2 million by selling preferred stock. The par value of the preferred stock is $100, and the annual dividend rate is 4%. A single share of Cartman Enterprises preferred...
-
Kyle is still trying to raise $5,000,000 for his new project, and he has decided that he will issue additional common stock for the necessary funds. The current price of his companys common stock is...
-
Consider how the Gazelle helicopter can stow SA 8 0 weapon systems, what affects there may be on the aircraft during varying modes of operation and where the best place is to stow them. ( 5 of them )...
-
Cleaning Service Company's Trial Balance on December 31, 2020 is as follows: Account name Debit Credit Cash 700 Supplies Pre-paid insurance Pre-paid office rent Equipment Accumulated depreciation -...
-
Precision Castparts, a manufacturer of processed engine parts in the automotive and airline industries, borrows $41 million cash on October 1, 2021, to provide working capital for anticipated...
-
Define contingent liability. Provide three common examples.
-
Financial information for Buckle is presented in Appendix B at the end of the book. Required: 1. What does the Report of Independent Registered Public Accounting Firm indicate about Buckle's internal...
-
Determine the state of steam at : (a) \(p=14\) bar and \(t=210^{\circ} \mathrm{C}\), and (b) \(p=8\) bar and \(2700 \mathrm{~kJ} / \mathrm{kg}\) of heat supplied to water from
-
The following readings were taken with a separating and throttling calorimeter: \[ \begin{aligned} \text { Initial pressure } & =12 \mathrm{bar} \\ \text { Final pressure } & =1.2 \mathrm{bar} \\...
-
Determine the condition of steam in the following cases : (a) At a pressure of 10 bar and \(200^{\circ} \mathrm{C}\). (b) At a pressure of 8 bar and specific volume of \(0.22 \mathrm{~m}^{3} /...
Study smarter with the SolutionInn App