An astronaut holds a rock 100 m above the surface of Planet X. The rock is...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
An astronaut holds a rock 100 m above the surface of Planet X. The rock is then thrown upward with a speed of 15 m/s, as shown in the figure. The rock reaches the ground 10 s after it is thrown. The atmosphere of Planet X has a negligible effect on the rock when it is in free fall. 15 m/s 100 m (i) Determine the acceleration due to gravity of the rock when it is on Planet X. ii. How does the speed of the rock when it reaches the ground Ud compare to the speed of the rock when it is thrown upward Vu ? "a < Pa "a = Pa "a > Pa State your reasoning. (b) A student wants to know how the motion of the rock would be different if it was thrown upward at 15 m/s from a height of 100 m above Earth's surface. In a clear, coherent, paragraph-length response that may also contain figures and/or equations, explain how the motion of the rock on Earth will be different from its motion on Planet X in terms of its maximum height above the ground, the speed at which it reaches the ground, the time in which it is in free fall, and its acceleration due to gravity. An astronaut holds a rock 100 m above the surface of Planet X. The rock is then thrown upward with a speed of 15 m/s, as shown in the figure. The rock reaches the ground 10 s after it is thrown. The atmosphere of Planet X has a negligible effect on the rock when it is in free fall. 15 m/s 100 m (i) Determine the acceleration due to gravity of the rock when it is on Planet X. ii. How does the speed of the rock when it reaches the ground Ud compare to the speed of the rock when it is thrown upward Vu ? "a < Pa "a = Pa "a > Pa State your reasoning. (b) A student wants to know how the motion of the rock would be different if it was thrown upward at 15 m/s from a height of 100 m above Earth's surface. In a clear, coherent, paragraph-length response that may also contain figures and/or equations, explain how the motion of the rock on Earth will be different from its motion on Planet X in terms of its maximum height above the ground, the speed at which it reaches the ground, the time in which it is in free fall, and its acceleration due to gravity.
Expert Answer:
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Posted Date:
Students also viewed these physics questions
-
An astronaut holds a rock 100 m above the surface of Planet X. The rock is then
-
A lighthouse that rises 49 ft above the surface of the water sits on a rocky cliff that extends 19 ft from its base, as shown in FIGURE 3-39. A sailor on the deck of a ship sights the top of the...
-
A cast-steel C frame as shown in the figure has a rectangular cross section of 1.25 in by 2 in, with a 0.5-in-radius semicircular notch on both sides that forms midflank fluting as shown. Estimate A,...
-
For each of the following, indicate if a discrete or a continuous random variable provides the best definition: a. The amount of oil exported by Saudi Arabia in January 2019 b. The number of...
-
A culture is a societys personality. If your culture were a person, how would you describe its personality traits?
-
The Arms Hotel has 56 rooms. A rented room represents \($150\) in profit, while turn- ing away a customer who made a reservation (but the Arms Hotel did not have a room available) costs \($100\)....
-
Unlike what happens when a company is sold, when companies merge, their shareholders equity is added together. Why?
-
A researcher wishes to see if the average length of the major rivers in the United States is the same as the average length of the major rivers in Europe. The data (in miles) of a sample of rivers...
-
Rory Company has a machine with a book value of $77,000 and a remaining five-year useful life. A new machine is available at a cost of $118,000, and Rory can also receive $71,000 for trading in its...
-
A cross-flow molecular filtration device equipped with a mesoporous membrane is used to separate the enzyme lysozyme from a fermentation broth, as shown in the figure (right column). Water at...
-
The above table gives a country's government outlays and tax receipts for 2007 through 2011. Government outlays (trillions dollars) Year 2007 2008 2009 2010 2011 750 800 870 950 1060 Tax receipts...
-
What set of eco-efficiency characteristics is the shareholder value approach concerned with identifying?
-
A _______________ interval estimates the mean y-value for all individuals with a given x-value. In Exercises 3 and 4, fill in each blank with the appropriate word or phrase.
-
A common-size income statement for Liberty would report (amounts rounded) a. Net income of \(16 \%\) b. Cost of sales at \(36 \%\) c. Sales of \(100 \%\) d. All the above
-
Liberty's return on common stockholders' equity can be described as a. Weak b. Normal c. Average d. Strong
-
Which measure expresses Liberty's times-interest-earned ratio? a. 15 times b. 27 times c. 20 times d. \(51.8 \%\)
-
9 A cost-cutting project will decrease costs by $66,300 a year. The annual depreciation will be $15,900 and the tax rate is 25 percent. What is the operating cash flow for this project? Cho O O...
-
Discuss the concept of the looking-glass self. how do you think others perceive you? do you think most people perceive you correctly?
-
Match each of the given differential equations with one or more of these solutions: (a) y = 0, (b) y = 2, (c) y = 2x, (d) y = 2x 2 . 1. xy' = 2y 2. y' = 2 3. y' = 2y 4 4. xy' = y 5. y'' + 9y = 18 6....
-
In problem the indicated function y 1 (x) is a solution of the given differential equation. Use formula (5) to find a second solution y 2 (x) expressed in terms of an integral defined function. See...
-
Express the solution of the given initial-value problem in terms of erfc(x). dy/dx - 2xy = -1, y(0) = /y 2
-
Discuss the key features of Section 404 of the Sarbanes-Oxley Act.
-
Which of the following is NOT a requirement in management's report on the effectiveness of internal controls over financial reporting? a. A statement of management's responsibility for establishing...
-
Which of the following is NOT an implication of Section 302 of the Sarbanes-Oxley Act? a. Auditors must determine, whether changes in internal control has, or is likely to, materially affect internal...
Study smarter with the SolutionInn App