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26 August, 15:23

5N to the left and 20 N to the right. If the couch has a mass of 45 Kg determine its acceleration

A) 3m/s2 to the right

B) 1.8 m/s2 to the right

C) 2.2 m/s to the right

D) 0.33 m/s2 to the right

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Answers (2)
  1. 26 August, 15:32
    0
    Answer: acceleration = 0.33m/s² to the right.

    Explanation: when two forces act in opposite direction along same axis thier resultant direction is always with that force of higher magnitude in this case 20N

    Resultant force F = - 5N + 20N = 15N to the right.

    But

    F = Mass * acceleration

    acceleration = F / mass

    = 15N/45kg

    = 0.33N/kg

    Which is also 0.33m/s² to the right.
  2. 26 August, 15:42
    0
    D) 0.33 m/s² to the right

    Explanation:

    Apply Newton's second law. Take right to be positive and left to be negative.

    ∑F = ma

    20 N - 5 N = (45 kg) a

    a = 0.33 m/s²

    The couch accelerates at 0.33 m/s² to the right.
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