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physics

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The gravitational field intensity at a height of 150 km above the surface of Uranus is 8.71 N/kg. The radius of Uranus is 2.56 x 107 m.
a. Calculate the mass of Uranus.
b. Calculate the gravitational field intensity at the surface of Uranus.
c. How much would a 100 kg person weigh on the surface of Uranus?

  • physics -

    g =8.71 N/kg.
    h = 150 000 m=1.5•10^5 m
    R= 8.71•10^7 m.

    (a) g = G•M/(R+h)².
    M = gR²/G,
    where the gravitational constant G =6.67•10^-11 N•m²/kg²,
    (b) gₒ = G•M/R².
    (c) m•gₒ.

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