Total resistive force by water and air on water skier

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To determine the total resistive force on a water skier being pulled at constant velocity, consider the forces acting on the skier, including tension (T), gravitational force, and resistive forces from water and air. The total resistive force can be calculated by setting the sum of the forces equal to zero since the skier is not accelerating. The upward force exerted by the water on the skier can be found by analyzing the vertical forces and applying Newton's second law. A free body diagram can aid in visualizing these forces and establishing the necessary equations. Understanding the dynamics of the skier's movement is crucial for solving the problem effectively.
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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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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