physics

posted by .

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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    a 200kg sailboat experiences an eastward force of 3000N by the ocean tide and a wind force against its sails with magnitude of 6000N directed toward the northwest (45 degrees north of west). what is the magnitude of the resultant acceleration?
  2. Physics

    A 325 kg boat is sailing 15.0 degrees north of east at a speed of 2.00 m/s. Thirty seconds later, it is sailing 35.0 degrees north of east at a speed of 4.00 m/s. During this time three forces act on the boat: a 31.0 N force directed …
  3. physics

    As a sailboat sails 51.5 m due north, a breeze exerts a constant force 1 on the boat's sails. This force is directed at an angle west of due north. A force 2 of the same magnitude directed due north would do the same amount of work …
  4. physics

    The wind exerts a force of 280 N North on a sailboat, while the water exerts a force of 131 N West on the sailboat. How many degrees west of north is this net external force directed?
  5. Physics

    A 19000 kg sailboat experiences an eastward force 16400 N due to the tide pushing its hull while the wind pushes the sails with a force of 55200 N directed toward the northwest (45 ◦ westward of North or 45 ◦ northward …
  6. science

    A 14700 kg sailboat experiences an eastward force of 29800 N due to tide pushing its hull while the wind pushes the sails with a force of 81500 N directed toward the northwest (45◦ westward of North or 45◦ northward of …
  7. physics

    A 16000 kg sailboat experiences an eastward force of 12400 N due to tide pushing its hull while the wind pushes the sails with a force of 51900 N directed toward the northwest (45 westward of North or 45 northward ofWest). What is …
  8. Physics

    A 15700 kg sailboat experiences an eastward force 22000 N due to the tide pushing its hull while the wind pushes the sails with a force of 80900 N directed toward the northwest (45◦ westward of North or 45◦ northward of …
  9. physics

    A 1.54 ×104 N boat experiences a force of 2 000 N from east by the ocean tide and a wind force against its sails with magnitude of 4000 N directed toward the northwest (60° N of W). Find the magnitude and the direction of the resultant …
  10. Physics

    A 2 635-kg sailboat experiences an eastward force of 2 710 N by the ocean tide and a wind force against its sails with magnitude of 5 748 N directed toward the northwest (45° N of W). What is the direction of the resultant acceleration?

More Similar Questions