A 540 kg spacecraft first is placed into a circular orbit about the earth at an altitude
Question:
A 540 kg spacecraft first is placed into a circular orbit about the earth at an altitude of 4500 km and then is transferred to a circular orbit about themoon. Knowing that the mass of the moon is 0.01230 times the mass of the earth and that the radius of the moon is 1740 km, determine
(a) The gravitational force exerted on the spacecraft as it was orbiting the earth,
(b) The required radius of the orbit of the spacecraft about the moon if the periodic times of the two orbits are to be equal,
(c) The acceleration of gravity at the surface of the moon. (The periodic time of a satellite is the time it requires to complete one full revolution about a planet).
Step by Step Answer:
For earth R 6370 km 637 106 m ge 981 ms For the given orbit ...View the full answer
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Related Video
In Physics, a force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. In this video, the concept of force and torque is demonstrated with the practical application of changing the flat tire of the car.
Students also viewed these Mechanical Engineering questions
-
A 500 kg spacecraft first is placed into a circular orbit about the earth at an altitude of 4500 km and then is transferred to a circular orbit about the moon. Knowing that the mass of the moon is...
-
A satellite is placed into a circular orbit about the planet Saturn at an altitude of 2100 mi. The satellite describes its orbit with a velocity of 54.7 103 mi/h. Knowing that the radius of the...
-
An astronaut circling the earth at an altitude of 400 km is horrified to discover that a cloud of space debris is moving in the exact same orbit as his spacecraft, but in the opposite direction. The...
-
Suppose that the probability that a mechanic fixes a car correctly is 0.9. Determine the odds against the mechanic fixing a car correctly.
-
More than 1 million heart patients each year undergo an angioplasty. The benefits of an angioplasty were challenged in a study of 2,287 patients (2007 Annual Conference of the American College of...
-
Identify and discuss the constitutional standard for addressing governmental regulations of commercial speech.
-
Cumene process with drag (purge) streams. In Example 8.7, a process for producing cumene by the alkylation of benzene with propylene is described. The flowsheet for the process is given in Figure...
-
Modify the Solow growth model by including government spending as follows. The government purchases G units of consumption goods in the current period, where G = gN and g is a positive constant. The...
-
Find dx dt dx - dt at x= dy =-4 if y = x + 2 and = dt 1.
-
Lease Classification, Considering Firm Guidance (Issues Memo) Facts: On 1/1/20X1, Investor, Inc. (Lessee") signed a Lease Agreement with Developer Inc. (Landlord") to lease Landlord's newly...
-
Determine the mass of the earth knowing that the mean radius of the moons orbit about the earth is 384.5 Mm and that the moon requires 27.32 days to complete one full revolution about the earth.
-
A 1-lb ball A and a 2-lb ball B are mounted on a horizontal rod which rotates freely about a vertical shaft. The balls are held in the positions shown by pins. The pin holding B is suddenly removed...
-
Suppose that in Problem 6-15, only a one-half fraction of the 2 4 design could be run. Construct the design and perform the analysis, using the data from replicate I. Problem 6-15. A nickel-titanium...
-
Find a microcontroller with unique, special instructions and, considering the application area for that processor, discuss the need for those special instructions.
-
What are control flow knots, and why should they be avoided?
-
In CISC - type processors, most instructions are having memory operands, while RISC - type processors access memory by LOAD and STORE instructions only. What are the advantages and disadvantages of...
-
Explain the concept of adaptive maintenance.
-
Why is DMA controller access to main memory in most systems given higher priority than CPU access to main memory?
-
X-ray diffraction can also change the direction of a beam of \(x\) rays. Which statement offers the best comparison between Compton scattering and \(\mathrm{x}\)-ray diffraction? A. X-ray diffraction...
-
A 6-lb shell moving with a velocity ?? v0k explodes at point D into three fragments which hit the vertical wall at the points indicated. Fragments A, B, and C hit the wall 0.010 s, 0.018 s, and 0.012...
-
For each application in the table, is I/O performance best measured using the number of transactions processed? Metrics for I/O performance may vary dramatically from application to application....
-
An automobile has a characteristic length and area of 8 ft and 60 ft2, respectively. When tested in sea-level standard air, it has the following measured drag force versus speed: V, mi/h: 20 40 60...
-
SAE 10 oil at 20C flows past an 8-cm-diameter sphere. At flow velocities of 1, 2, and 3 m/s, the measured sphere drag forces are 1.5, 5.3, and 11.2 N, respectively. Estimate the drag force if the...
-
A body is dropped on the moon (g = 1.62 m/s2) with an initial velocity of 12 m/s. By using option 2 variables, Eq. (5.11), the ground impact occurs at ** t = 0.34 and S ** = 0.84. Estimate (a) the...
-
s Machine-hours required to support estimated production Fixed manufacturing overhead cost Variable manufacturing overhead cost per machine-hour Required: 1. Compute the plantwide predetermined...
-
How do visionary leaders navigate the complexities of organizational dynamics to cultivate a culture of innovation and adaptability ? Explain
-
Finnish Corporation manufactures custom molds for use in the extrusion industry. The company allocates manufacturing overhead based on machine hours. Selected data for costs incurred for Job 532 are...
Study smarter with the SolutionInn App