Question

In: Physics

1) Because of the mass involved in constructing and transporting a lander, the first human expedition...

1) Because of the mass involved in constructing and transporting a lander, the first human expedition to Mars will likely be an orbital mission. A geosynchronous orbit seems plausible, allowing astronauts in the spacecraft to have continuous line-of-sight control of rovers on the surface. What is the altitude above the surface of Mars for geosynchronous orbit? You’ll need to do some research to find the mass of Mars and its rotation period.

2) Using the expression for the escape velocity from a planet.
a) Describe the physics that went into your derivation of the escape velocity and list the formula again.
b) Use this formula to calculate the escape velocity of Mars and compare it with Earth. List the sources where you obtained the properties of each planet for your calculation.
c) What insight might you glean from the above calculation on why Mars has a thinner atmosphere than the Earth?

3) Assuming that the outer planets (Saturn, Uranus, and Neptune) are in equilibrium with the solar radiation, calculate the effective surface temperature of these 3 planets and show all intermediate steps. You can assume albedos of 0.5, 0.6, and 0.6, for Saturn, Uranus, and Neptune, respectively. The solar luminosity is 3.83 x 1026 W. How do these temperatures compare with their observed temperatures?

Solutions

Expert Solution

ONE QUESTION A TIME PLEASE AS PER THE RULES AND GUIDELINES...

----------------------------------------------------------------------------------------------------------------------

From the web, the rotation period of mars is 24 hours 37 minutes which is equal to 88620 seconds

Mass of mars = 0.642e24 Kg

From kepler's law

T2 = (42 / GM)r3

r3 = GMT2 / 42

r3 = 6.67e-11*0.642e24* 886202 / 42

r3 = 8.5185e21

r = 2.042e7 m

r = 20420 Km

This includes radius of mars, so we need to subtract

Therefore, altitude of geosynchronous orbit above mars = 20420 Km - 3396 Km = 17024 Km

-------------------------------------------------------------------------------

equating kinetic energy and potential work

1/2mv2 = GMm / R

escape velocity is given as

v = sqrt (2GM / R)

where M is mass and R is radius of body.

escape velocity of mars, v = sqrt (2*6.67e-11*0.642e24 / 3396000)

v = 5.02 Km/s

The escape velocity from earth = 11.2 Km/s which is more than mars's


Related Solutions

1. Which vector would be best suited for constructing a human genomic library with the largest...
1. Which vector would be best suited for constructing a human genomic library with the largest sized insect fragment? a) Plasmid b) T4 phage   c) Lamda phage   d) YAC e) BAC 2. Successfully cloning an insert into a vector results in the production of a recombinant molecule. Name three enzymes that are commonly required for high efficiency of cloning. 3. A trait that is expressed in only one sex even though the trait may not be sex linked is reffered...
1. First, an object 1 with mass m and an object 2 with mass 2 m...
1. First, an object 1 with mass m and an object 2 with mass 2 m are moving on a straight line at velocities v1i = 1.00 m / s and v2i = -2.00 m / s. Two objects collided inelastically, and the velocities of object 1 and object 2 changed to v1f and vf2, respectively. The velocity is positive in the right direction, and no external force is acting on these two objects. Find v1f and vf2 for cases...
outline the key cellular steps involved in the production of human type 1 collagen
outline the key cellular steps involved in the production of human type 1 collagen
1. Mars is considered favorable for human habitation because A. the length of day and year...
1. Mars is considered favorable for human habitation because A. the length of day and year are similar to Earth B. Mars has seasons like Earth C. Mars tilts on an axis of rotation like Earth D. all of the above 2. The mind is altered by each new event it encounters. true false 3. The neocortex overrides the primitive actions of the reptilian brain and limbic system, giving rise to rational thinking. true false 4. Warming Mars could be...
1. People sometimes suggest that psychology cannot be a science because either a) human behavior cannot...
1. People sometimes suggest that psychology cannot be a science because either a) human behavior cannot be predicted with perfect accuracy, or b) must of its subject matter (e.g., thoughts and feelings) cannot be observed directly. Tell us why psychology is a science and why both assumptions are false. What is an "empirical question"? List two empirical and two nonempirical questions about human behavior. 2. What is basic research? What is applied research? Based on your own experience or on...
Question 1: Menara Wealth Management involved the following transactions during September 2020, the first month of...
Question 1: Menara Wealth Management involved the following transactions during September 2020, the first month of its operation: Date Transactions September 1 Started a financial planning services company by investing RM150,000 cash and office equipment of RM50,000. 2 Purchased RM12,000 of office equipment by cash. 3 Purchased RM3,000 of office supplies on credit. 4 Completed service for a client and received a payment of RM9,000 cash. 8 Completed service for Syarikat Bizara on credit amounted to RM17,000. 10 Paid the...
1.The first stage in human development, ____________________, takes place in the uterine tube when sperm cells...
1.The first stage in human development, ____________________, takes place in the uterine tube when sperm cells encounter a secondary oocyte. 2. The single cell that results when a sperm and an ovum unite is called a _______________ 3.Inherited traits determined by genes specifically located in the sex chromosomes are called __________________________ traits. 4.Chemical messengers secreted into the bloodstream by endocrine glands, that initiate a change in a target cell are called ____________________ 5.The hormone, produced by the anterior pituitary gland,...
1)Chlorine has two stable isotopes. The first isotope has a mass number 35 and is present...
1)Chlorine has two stable isotopes. The first isotope has a mass number 35 and is present 75.77% of the time. The second isotope has a mass number of 37. Calculate their molar mass of Chlorine. 2) what type of question is this? 3) Explain background information? 4)What Info do you need to solve it? 5)Solve question giving step wise advice. 6)Give example it could be rewrttten?
Second stage of fusion: Medium/high mass stars: 1. What will happen when the first fuel runs...
Second stage of fusion: Medium/high mass stars: 1. What will happen when the first fuel runs out? what will fuse next? (second stage of fusion) 2. what process do medium mass and high mass stars use to fuse the second stage of fusion? 3. What is degeneracy and how does it help medium mass stars to ignite the second stage of fusion?
1.How did plants contribute to the first mass extinction event? Please answer in detail. 2.Take a...
1.How did plants contribute to the first mass extinction event? Please answer in detail. 2.Take a look at the Revive and Restore project. What are two animals they are attempting to bring back? How? Will these be identical to the original? Is this project worth doing?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT