Ap 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 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...

  1. 👍
  2. 👎
  3. 👁
  1. 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

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A boat moves through the water with two forces acting on it. One is a 2100. N forward push by the water on the propeller, and the other is a 1600. N resistive force due to the water around the bow. (a) What is the acceleration of

  2. Physics

    The ski slopes at Bluebird Mountain make use of tow ropes to transport snowboarders and skiers to the summit of the hill. One of the tow ropes is powered by a 22-kW motor which pulls skiers along an icy incline of 14° at a

  3. Math (Trig.)

    A boat sailing from A to B travels in a straight line until the captain realizes he is off course. The boat is turned through an angle of 60 degrees, then travels another 10 km to B. The trip would have been 4 km shorter if the

  4. geometry

    An architect plans to draw a rectangular patio with segment LM representing one side of the rectangle. He wants to construct a line passing through Q and parallel to side LM. He uses a straightedge and compass to complete some

  1. college physics helpasap

    The water skier in the figure is at an angle of 35degree with respect to the center line of the boat, and is being pulled at a constant speed of 15m/s . 1)If the tension in the tow rope is 90.0N, how much work does the rope do on

  2. physics

    A boat travels at 3.8 m/s and heads straight across a river 240 m wide. The river flows at 1.6 m/s. Find A) The boat's resultant velocity. B) How long it takes the boat to cross the river. C) How far downstream the boat is when it

  3. math

    which pair of transformations to the figure shown below would produce an image that is on top of the original A. a translation to the right and a reflection over the vertical line of reflection shown. B. a translation down and a

  4. math

    The ferris wheel shown makes 12 revolutions per ride.how far would someone travel during one ride

  1. math

    The center pole of a tent is 8 feet long. the side of the tent is 12 feet long. If a right angle is formed where the center pole meets the ground, what is the measure of angle a.(there is a pic, the 8ft line is the center pole

  2. Math

    Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The

  3. physics

    A chair lift takes skiers to the top of a mountain that is 320 m high. The average mass of skiers complete with equipment is 85 kg . The chair lift can deliver three skiers to the top of the mountain every 36 s Determine the power

  4. cpcc

    Two people are pulling a boat through the water as in Figure P4.20. Each exerts a force of 600 N directed at a θ = 45.0° angle relative to the forward motion of the boat. If the boat moves with constant velocity, find the

You can view more similar questions or ask a new question.