Physics

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A hot-air balloon has a total mass of 720 kg. It accelerates downwards (towards the ground) at 2.7m/s^2 even though an upwards lift force in acting on it.

Find
a:Find the lift force acting on the balloon

B)What must be the total mass that needs to be thrown overboard if the operator on the hot-air balloon decides to accelerate upwards at 3.6 m/s^2 ?
Assume the upwards lift force remains the same.

  • Physics -

    net force=ma
    lift-mg=ma but a=-2.7
    solve for lift.

  • Physics -

    a. We'll call downward acceleration
    (-), and upward (+).

    a + g = -2.7 m/s^2,
    a - 9.8 = -2.7,
    a = -2.7 + 9.8 = 7.1 m/s^2.

    F = ma = 720 kg * 7.1 m/s^2 = 5112 N.


    b. a + g = 3.6 m/s^2,
    a - 9.8 = 3.6,
    a = 3.6 + 9.8 = 13.4 m/s^2.

    F = ma = 5112 N,
    m * 13.4 = 5112,
    m = 5112 / 13.4 = 381.5 kg, max.

    m = 720 - 381.5 = 338.5 kg to be thrown overboard.

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