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2 June, 23:27

The mass of Jupiter is 1.9 * 1027 and that of the sun is 1.99 * 1030. The

mean distance of Jupiter from the sun is 7.8 * 1011m. Calculate the gravitational

force which the sun exerts on Jupiter, and the speed of Jupiter.

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Answers (1)
  1. 2 June, 23:56
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    F = 4.147 * 10^23

    v = 1.31 * 10^4

    Explanation:

    Given the following:

    mass of Jupiter (m1) = 1.9 * 10^27

    Mass of sun (m2) = 1.99 * 10^30

    Distance between sun and jupiter (r) = 7.8 * 10^11m

    Gravitational force (F):

    (Gm1m2) / r^2

    Where; G = 6.673*10^-11 (Gravitational constant)

    F = [ (6.673*10^-11) * (1.9 * 10^27) * (1.99 * 10^30) ] / (7.8 * 10^11) ^2

    F = [25.231 * 10^ (-11+27+30) ] / (60.84 * 10^22)

    F = (25.231 * 10^46) / (60.84 * 10^22)

    F = 3.235 * 10^ (46 - 22)

    F = 0.4147 * 10^24

    F = 4.147 * 10^23

    Speed of Jupiter (v):

    v = √ (Fr) / m1

    v = √[ (4.147 * 10^23) * (7.8 * 10^11) / (1.9 * 10^27)

    v = √32.3466 * 10^ (23+11) / 1.9 * 10^27

    v = √32.3466 * 10^34 / 1.9 * 10^27

    v = √17. 023 * 10^34-27

    v = √17.023 * 10^7

    v = 13047.221

    v = 1.31 * 10^4
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