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4 September, 03:03

A boat has a mass of 6800 kg. its engines generate a drive force of 4100 n, due west, while the wind exerts a force of 830 n, due east, and the water exerts a resistive force of 1200 n due east. what is the magnitude and direction of the boat's acceleration?

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  1. 4 September, 03:23
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    Let positive be west and negative be east because they are contrasting in directions.

    The forces are 4100, - 830, and - 1200

    The sum of the forces is 4100 - 830 - 1200 = 2070 N.

    Newton’s law F = ma is used.

    2070 = 6800 a

    Isolating a will give us 2070 / 6800 = a

    a = 0.34 m/s^2
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