Two objects attract each other with a gravitational force of magnitude 9.40 10-9 N when separated by 19.7 cm.?

Update:

If the total mass of the objects is 5.03 kg, what is the mass of each?

1 Answer

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  • Ash
    Lv 7
    4 weeks ago

    F = Gm₁m₂/r²

    m₁m₂ = (Fr²)/G

    m₁m₂ = [(9.40 x 10⁻⁹)*(0.197)²]/(6.67 x 10⁻¹¹) = 5.47 Kg

    m₁ = 5.47/m₂ ...(1)

    Given m₁+m₂ = 5.03

    plug in m₁ from (1)

    5.47/m₂ + m₂ = 5.03

    5.47 + m₂² = 5.03m₂

    5.47 + 100m₂² = 503m₂

    100m₂² - 503m₂ + 547 = 0

    m₂ = [-(-503)±√(-503)²-4(100)(547)]/(2*100) = 3.44 or 1.59

    If m₂ = 3.44 kg then m₁ = 1.59 kg

    if m₂ = 1.59 kg then m₁ = 3.44 kg

    So the 2 masses are 1.59 kg and 3.44 kg

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