physics

A water-skier is moving at a speed of 16.7 m/s. When she skis in the same direction as a traveling wave, she springs upward every 6.9 s because of the wave crests. When she skis in the direction opposite to the direction in which the wave moves, she springs upward every 4.2 s in response to the crests. The speed of the skier is greater than the speed of the wave.
Determine the speed of the wave in m/s and Determine the wavelength of the wave.

  1. 👍 0
  2. 👎 0
  3. 👁 649
  1. λ=(v-u) ∙t₁
    λ=(v+u) ∙t₂
    (v-u) ∙t₁=(v+u) ∙t₂
    u=v(t₁-t₂)/(t₁+t₂) =16.7(6.9-4.2)/(6.9+4.2)=
    =16.7∙2.7/11.1=4.06 ㎧
    λ=(v+u) ∙t₂=(16.7+4.06) ∙4.2=87.2 m.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A 60.0-kg skier with an initial speed of 12.0 m/s coasts up a 2.50-mhigh rise and angle is 35 degrees.Find her final speed at the top, given that the coefficient of friction between her skis and the snow is 0.0800. (Hint: Find the

  2. Physics

    Jason takes off across level water on his jet-powered skis. The combined mass of Jason and skis is 75 kg (the mass of the fuel is negligible). The skis have a thrust of 200 N and a coefficient of kinetic friction on water of 0.1.

  3. Physics

    A skier is pulled up a slope at a constant velocity by a tow bar. The slope is inclined at 23.0° with respect to the horizontal. The force applied to the skier by the tow bar is parallel to the slope. The skier's mass is 55.3 kg,

  4. Physics help needed !

    In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is θ = 39.5°, the snow is dry snow with a coefficient of kinetic friction

  1. Physics

    A 80 kg skier grips a moving rope that is powered by an engine and is pulled at constant speed to the top of a 25 degree hill. The skier is pulled a distance x = 230m along the incline and it takes 2.3 min to reach the top of the

  2. physics

    A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 71.6-kg water-skier has an initial speed of 5.8 m/s. Later, the speed increases to 11.8 m/s.

  3. physics

    An Olympic skier moving at 20.0 m/s down a 30.0 degree slope encounters a region of wet snow and slides 145 m before coming to a halt. What is the coefficient of friction between the skis and the snow?

  4. physics

    A 35-kg skier skis directly down a frictionless slope angled at 11° to the horizontal. Assume the skier moves in the negative direction of an x axis along the slope. A wind force with component Fx acts on the skier. What is Fx

  1. Physic

    A 61-kg skier, coasting down a hill that is an angle of 23 to the horizontal, experiences a force of kinetic friction of magnitude 72N. The skier's speed is 3.5m/s near the top of the slope. Determine the speed after the skier has

  2. Physics

    A 61 kg skier on level snow coasts 184 m to stop from a speed of 12.0 m/s (A) use the work energy principle to find the coefficient of kinetic friction between the skis and the snow. B) suppose a 75 kg skier with twice the

  3. COLLEGE PHYSICS

    A 62.0 kg skier is moving at 6.50 m/s on a frictionless, horizontal snow covered plateau when she encounters a rough patch 3.50 m long. The coefficient of kinetic friction between this patch and returning to friction-free snow,

  4. Physics

    A water skier lets go of the tow rope upon leaving the end of a jump ramp at a speed of 17.9 m/s. As the drawing indicates, the skier has a speed of 11.1 m/s at the highest point of the jump. Ignoring air resistance, determine the

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