Ap Physics

posted by .

Water skiers often ride to one side of the center line of a boat, as shown in the figure . In this case, the ski boat is traveling at 15 (m/s} and the tension in the rope is 80 N.

If the boat does 3600 J of work on the skier in 51.3 m, what is the angle \theta between the tow rope and the center line of the boat?

Someone please help been trying for hours...

  • Ap Physics -

    The component of the rope tension along the direction of motion is
    (Work)/(distance pulled) = 3600/51.3 = 70.2 N

    But you also know that
    70.2 = (rope tension)x cos theta

    Therefore
    sin theta = 0.877
    theta = 28.7 degrees

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    the ski boat is traveling at 15 m/s and the tension in the rope is 80 N. If the boat does 3500 J of work on the skier in 54.6 m, what is the angle between the tow rope and the center line of the boat?
  2. physics

    Water skiers often ride to one side of the center line of a boat, as shown in the figure . In this case, the ski boat is traveling at 15 {\rm m}/{\rm s} and the tension in the rope is 76 N. If the boat does 3600 J of work on the skier …
  3. Physics

    Water skiers often ride to one side of the center line of a boat, as shown in the figure. In this case, the ski boat is traveling at 15 m/s and the tension in the rope is 90 N. If the boat does 3500 J of work on the skier in 42.4 m, …
  4. Physics

    A 95 kg rowboat is initially at rest, until it is pulled toward the dock with a rope with a tension of 30.0 N. The dock is higher than the boat, and the rope makes an angle of 25° at the place where it meets the boat. What is the …
  5. Geometry

    boat dock is 9 ft above water level if a 41 ft rope is attached to the dock on one side and to the boat on the other side, what is the horizontal distance from the dock to the boat?
  6. Physics

    A boat with a horizontal tow rope pulls a water skier. She skies off to the side, so the rope makes an angle of 15.0° with her direction of motion, but in the same direction as the boat is traveling. The tension in the rope is 160 …
  7. Physics

    The tension in a rope attached to a boat is 27.5 lb. The rope is attached to the boat 6.0 ft below the level at which the boat is being drawn in. At the point where there is 18.0 ft of rope out, what force is bringing the boat towards …
  8. Physics

    Could someone help me with this, please. Thanks. The tension in a rope attached to a boat is 27.5 lb. The rope is attached to the boat 6.0 ft below the level at which the boat is being drawn in. At the point where there is 18.0 ft …
  9. physics

    water skiers often ride to one side of the center line of a boat, as shown 7-14. In this case, the ski boat is traveling at 15m/s and the tension in the rope is 80 n. If the boat does 3400 J of work on the skier in 50.3 m, what is …
  10. Physics

    A boat is constructed in the shape of a rectangular cube. The base of the boat is 2m by 3m and the side of the boat is 2m high. The boat has a total mass of 4500kg. Hint-The density of the water is 1000kg/m^3. a. What is the buoyant …

More Similar Questions