Total resistive force by water and air on water skier

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SUMMARY

The total resistive force acting on a water skier being pulled at a constant velocity by a boat can be calculated by analyzing the forces involved. The skier experiences a resistive force due to water and air, which equals the tension in the rope (T) when moving at constant velocity. Additionally, the upward force exerted by the water on the skier can be determined by considering the skier's weight and the net forces acting on them. A free body diagram is essential for visualizing these forces and establishing the correct equations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of free body diagrams
  • Familiarity with forces acting on objects in fluid dynamics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of fluid dynamics related to drag forces
  • Learn how to construct and analyze free body diagrams
  • Explore the equations of motion for objects in water
  • Investigate the effects of varying mass on resistive forces
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of water sports and the forces acting on objects in fluid environments.

trosenau
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A water skier of mass m is pulled at a constant velocity v by a boat of mass M. Tension in the rope held horizontally by the skier is T.
a) Find the total resistive force by the water and air on the skier.
b) How much upward force does the water exert on the skier?
What equation would I use to start this problem?
 
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trosenau said:
A water skier of mass m is pulled at a constant velocity v by a boat of mass M. Tension in the rope held horizontally by the skier is T.
a) Find the total resistive force by the water and air on the skier.
b) How much upward force does the water exert on the skier?
What equation would I use to start this problem?

First, think about what is happening to the water skier, and how the skier is being pulled behind the boat. This is more important than frantically reaching into a bag of formulas, hoping to pick the right one (or two or three ...)

If it helps, draw a free body diagram of just the water skier and identify all of the forces acting on him/her.
 

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