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Laws of Motion-magnitude/accel-Gerry has mass issues!

  1. Mar 22, 2014 #1

    a.k

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    1. The problem statement, all variables and given/known data
    The wind exerts a force of 420 N toward the south on the sails of Gerry’s sailboat, while the water exerts a force on the sailboat of 160 N west.The boat and Gerry have a combined mass of 320 kg, what are the magnitude and direction of the sailboat’s acceleration?

    2. Relevant equations
    f= sqrt(Force 1^2+Force 2^2)

    3. The attempt at a solution
    I need to find the total force of the boat.

    F=sqrt((420)^2+(160)^2))

    F=sqrt(202000)

    F=449.44 N

    I would appreciate some guidance.
     
  2. jcsd
  3. Mar 22, 2014 #2
    Since you found the magnitude of the net force on the boat, to get the magnitude of the acceleration now you can apply Newton's second law, F=ma.

    To find the direction of the force and the acceleration try drawing the resultant vector of the two force vectors.
     
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