A lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in propelling the module from the surface of the moo

Question

A lunar module weighs 12 metric tons on the surface of the Earth. How much work is done in propelling the module from the surface of the moon to a height of 80 miles

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Dulcie 3 years 2021-08-17T09:41:12+00:00 1 Answers 14 views 0

Answers ( )

  1. King
    0
    2021-08-17T09:43:05+00:00
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    Answer:

    149.05J

    Explanation:

    Hello,

    Data;

    Weight = 12N

    x = 80miles

    Radius of the moon = 1079.4mi

    W = mg

    But gravity at moon = ⅙ the gravity on earth

    12 = ⅙ × m

    M = 2kg

    Mass of the module = 2kg

    K = F.x

    F(x) = k / x²

    2 = k / (1079.4)²

    k = 2.33×10⁶

    Work = ∫f.dx

    work = ∫₁₀₇₉.₄¹¹⁵⁹ . (2.33×10⁶/x²).dx

    Work = (-2.33×10⁶) ×(¹/₁₁₅₉ – ¹/₁₀₇₉)

    work = 149.05J

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