Physics

posted by .

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 West).

A) What is the magnitude of the resultant acceleration of the sailboat?Answer in units of m/s^2

B.) What is the direction of the boat’s acceleration? Answer in units of ◦ (N of West)

  • Physics -

    Fr = 22,000N @ 0o+80,900N @ 135o =
    Resultant force.

    A. X = 22000 + 80900*cos135 = -35,205 N.
    Y = 80900*sin135 = 57,205 N.

    Fr^2=X^2 + Y^2 = (-35205)^2 + (57205)^2

    Fr = 67,170 N = Resultant force.

    a = Fr/m = 67170/15700 = 4.3 m/s^2.

    B. tanAr = Y/X = 57205/-35205=-1.6249
    Ar = -58.4o.
    A = 180 - _58.4 = 122o, CCW = 58o N of West = Direction.

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 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 …
  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

    The wind exerts a force of 305 N North on a sailboat, while the water exerts a force of 123 N West on the sailboat. What is the magnitude of the net external force on the sailboat?
  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