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18 February, 11:05

If a person weighs 900 N on Earth, then that same person is recorded to weigh 2125 N on Planet X, what is the acceleration due to gravity of Planet X? 40.98 m/s^2

5.78 m/s^2

23.16 m/s^2

33.09 m/s^2

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  1. 18 February, 11:29
    0
    The acceleration due to gravity of Planet X is 23.16 m/s² ⇒ 3rd answer

    Explanation:

    A person weighs 900 N on Earth

    Same person is recorded to weigh 2125 N on Planet X

    The mass of the person is the same on Earth and on the Planet X

    The weight is the product of the mass and acceleration

    We know the acceleration of gravity on Earth is 9.81 m/s², then we can

    find the mass of the person

    → Weight = mass * acceleration

    → The weight of the person on Earth = 900 Newtons

    → The acceleration of gravity on Earth = 9.81 m/s²

    Substitute these values in the rule above

    → 900 = mass * 9.81

    Divide both sides by 9.81

    → mass = 91.74 kilograms

    The mass of the person is 91.74 kilograms

    Now lets find the acceleration on Planet X

    → Weight = mass * acceleration

    → The weight of the person on Planet X = 2125 Newtons

    → The mass of the person = 91.74 kilograms

    Substitute these values in the rule above

    → 2125 = 91.74 * acceleration

    Divide both sides by 91.74

    → acceleration = 23.16 m/s²

    The acceleration due to gravity of Planet X is 23.16 m/s²
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