The lunar module, which has mass 15000 kg, falls from rest from an initial heigh
ID: 1784914 • Letter: T
Question
The lunar module, which has mass 15000 kg, falls from rest from an initial height h(initial) above the surface of the moon. This height is very small compared to the radius of the moon. The magnitude of the gravitational field near the surface of the moon is g(moon) = 1.62 N/kg.
Choose as your system the lunar module only.
(a) what is the work done on the system by external forces as the lunar module falls from initial height h(initial) = 12.0 m to the surface of the moon? Show all steps in your work.
(b) What is the speed of the lunar module when the module reaches the surface of the moon? Start from a fundamental principle and show all your work.
(c) For safety reasons NASA requires that the speed of the lunar module when it collides with the moon's surface be less than or equal to 3.0 m/s. In order to comply with this safety requirement, what is the maximum possible initial height h(initial)? Start from a fundamental principle and show all your work.
You must choose the lunar module and the moon as your system to work part this part.
Show and explain the steps plz. thanks in advance
Explanation / Answer
a) Workdone=mgh=15000*1.62*12=291600Joule
b)
From conservation of energy
1/2 mv2 =mgh
V2=2gh
V=root(2gh)=root(2×1.62×12)=6.235 m/s
C)
Height h=V2/2g=9/(2×1.96)=2.295 m
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