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27 March, 01:12

The gravitational force between two objects that

are 2.1x10-1 m apart is 3.2x10-6 N. If the mass of one

object is 55 kg what is the mass of the other object?

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Answers (1)
  1. 27 March, 04:36
    0
    The answer to your question is m₂ = 38.5 kg

    Explanation:

    Data

    distance = d = 2.1 x 10⁻¹ m

    Force = 3.2 x 10⁻⁶ N

    m₁ = 55 kg

    m₂ = ?

    G = 6.67 x 10 ⁻¹¹ Nm²/kg²

    Process

    1. - To solve this problem use Newton's law of Universal Gravitation.

    F = G m₁m₂ / r²

    -Solve for m₂

    m₂ = Fr² / Gm₁

    2. - Substitution

    m₂ = (3.2 x 10⁻⁶) (2.1 x 10⁻¹) ² / (6.67 x 10⁻¹¹) (55)

    3. - Simplification

    m₂ = 1.411 x 10⁻⁷ / 3.669 x 10⁻⁹

    4. - Result

    m₂ = 38.5 kg
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