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physics

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A 16000 kg sailboat experiences an eastward force of 17700 N due to tide pushing its hull while the wind pushes the sails with a force of 87500 N directed toward the northwest (45 degrees westward of North or 45 degrees northward of West). What is the magnitude of the resultant acceleration of the sailboat? Answer in units of m/s^2.

I'm not sure what equation to be using with this.

  • physics - ,

    m = 16000kg.

    X = hor = 17700 + 87500cos(90+45),
    X = 17700 - 61872 = -44172N.

    Y = ver = 87500sin(90+45),
    Y = 61872N.

    (Fr)^2 = X^2 + Y^2,
    (Fr)^2 = (-44172)^2 + (61872)^2,
    (Fr)^2 = 5,779,309,968,
    Fr = 76022N. = Resultant force.

    a = Fr / m = 76022 / 16000 = 4.75m/s^2.

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