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28 July, 11:03

On a planet whose radius is 1.1 x 10^7 m, the acceleration due to gravity is 41 m/s^2. What is the mass of the planet (in kg) ?

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  1. 28 July, 11:45
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    M = 7.43*10^25 kg

    Explanation:

    let the mass of the planet be M and r be the radius of the planet and g be the gravitational acceleretion.

    then:

    the gravitational acceleration is given by:

    g = G*M / (r^2)

    M = g*r^2/G

    = [ (41) * (1.1*10^7) ^2] / (6.67408*10^-11)

    = 7.43*10^25 kg

    therefore, the mass of the planet is 7.43*10^25 kg.
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