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4 February, 20:33

9. A force does 50) of work on an object at rest with a mass of 4 kg. Which of the following is the final velocity of the object?

25 m/s

5 m/s

3.5 m/s

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Answers (1)
  1. 4 February, 22:22
    0
    5 m/s

    Explanation:

    Work is force times distance.

    W = Fd

    Force is mass times acceleration.

    W = ma d

    Acceleration is change in velocity over change in time.

    W = m Δv / Δt d

    Distance over time is average velocity.

    W = m Δv v_avg

    W = m (v - v₀) (v + v₀) / 2

    W = m (v² - v₀²) / 2

    Plugging in values:

    50 J = 4 kg (v² - (0 m/s) ²) / 2

    25 m²/s² = v²

    v = 5 m/s
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