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9 June, 05:00

A rocket, weighing 43576 N, has an engine that provides an upward force of 11918 N. It reaches a maximum speed of 713 m/s. For how much time must the engine burn during the launch in order to reach this speed? Call up positive.

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  1. 9 June, 06:01
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    Answer: 266.0 s ≈ 4.4 min

    Explanation:

    1) Data

    Wr = 43,576 N

    F = 11,918 N

    V = 713 m/s

    t = ?

    2) Principles and formulas

    Impulse and conservation of momentum

    I = F. t = Δp

    Δp = mΔv

    3) Solution

    m = Wr / g = 43,576N / 9.8 m/s^2 = 4,446.5 kg

    Δp = mΔv = > 4,446.5 kg * 713 m/s = 3,170,354,5 N*s

    I = F. t = Δp = > t = Δp / F = 3,710,354.5 N*s / 11,918N = 266.0 s

    t = 266.0 s ≈ 4.4 min
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