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11 Jun 2020

Propulsion

A lunar module weighs 12 metric tons on the surface of Earth. How much work is done in propelling the module from the surface of the moon to a height of 50 miles? Consider the radius of the moon to be 1100 miles and its force of gravity to be one-sixth that of Earth.

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Joram Guingguing
Joram GuingguingLv10
24 Jul 2020

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Related questions

Please help me answer c: apparantly my answer is not correct.THank you.

The problem of finding the work done in lifting a payload from thesurface of the moon is another type of work problem. Suppose themoon has a radius of R miles and the payload weighs P pounds at the surface of the moon (at a distance ofRmilesfrom the center of the moon). When the payload is x miles from the center of the moon (x≥ R),the force required to overcome the gravitational attraction betweenthe moon and the payload is given by the followingrelation:

required force = f(x) =
R2P
x2
pounds





Question:

How much work would be needed to raise the payload from the surfaceof the moon (i.e., x = R)to an altitude of 5Rmilesabove the surface of the moon (i.e., x = 6R)?

Propulsion In Exercises 71 and 72, use the weight of the rocket to answer each question. (Use 4000 miles as the radius of Earth and do not consider the effect of air resistance.)

a. How much work is required to propel the rocket an unlimited distance away from Earth’s surface?

b. How far has the rocket traveled when half of the total work has occurred?

5-metric-ton rocket

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