Suppose the mass of a fully loaded module in which astronauts take off from the
ID: 1880145 • Letter: S
Question
Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 13,900 kg. The thrust of its engines is 31,500 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.)
(a) Calculate (in m/s2) its magnitude of acceleration in a vertical takeoff from the Moon.
_________ m/s2
(b) Could it lift off from Earth? If not, why not?
No, the thrust of the module's engines is less than its weight on Earth.
No, the thrust of the module's engines is equal to its weight on Earth.
Yes, the thrust of the module's engines is equal to its weight on Earth.
Yes, the thrust of the module's engines is greater than its weight on Earth.
If it could, calculate (in m/s2) the magnitude of its acceleration. (If not, enter NONE.)
___________m/s2
Explanation / Answer
a)
F = ma
31500 - 13900 x 1.67 = 13900 x a
a = 0.6 m/s^2
b)
No, the thrust of the module's engines is less than its weight on Earth.
None
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