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17 August, 12:06

2. Calculate the average magnitude of the force of gravity on the planet Neptune (mass of 1.02*10^ 26 kg) due to the Sun (mass of 1.99*10^ 30 kg), assuming an average orbital distance of 4.50*10^ 12 m.

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  1. 17 August, 12:36
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    The answer to your question is: F = 6.69 x 10²⁰ N

    Explanation:

    To solve this problem we need to use the Newton's law of universal gravitation.

    F = G (m1m2) / r²

    where

    F = ?

    G = 6.674*10-11 N · (m/kg) 2 is the gravitational constant

    m1 = Neptune mass = 1.02 x 10²⁶ kg

    m2 = Sun mass = 1.99 x 10³⁰ kg

    r orbital distance among the planets = 4.50 x 10¹² m

    Substitution

    F = 6.674*10-11 N · (m/kg) x 1.02 x 10²⁶ kg x 1.99 x 10³⁰ kg / (4.50 x 10¹² m) ²

    F = 1.355 x 10⁴⁶ / 2.025 x 10²⁵

    F = 6.69 x 10²⁰ N
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