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    A hot-air balloon, its occupants and ballast have total mass 2000kg. The balloon is travelling horizontally with constant velocity. The occupants release 100kg of ballast. Neglecting air resistance find, in ms^-2 significant figures, the magnitude of the acceleration of the balloon.
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    Before some of the ballast has been released, the forces vertically are balanced (they must also be balanced horizontally, as it's travelling at constant velocity, but leave that for a min).

    2000g = F

    They then release some ballast, so the weight of the balloon has decreased. I'm assuming that the upwards force is unchanged.

    Therefore, you have a net force of F - (2000 - 100)g upwards.

    Newton's 2nd law: F - (2000 - 100)g = ma

    Using F from above and a mass of 1900: 100g = 1900a

    => a = 100g/1900

    => a = 0.516 ms^-2
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    thx^^
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    No prob.
 
 
 

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