Extreme Sports: Waterboarding and Physics (Work/Tension)

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The discussion focuses on calculating the work done on a waterboarder being pulled by a motorboat at a constant speed. The user presents a scenario where the waterboarder is at a 25-degree angle and the tension in the tow rope is 100N. For the first part, the user calculates the work done by the tow rope over 10 seconds, resulting in 18 kJ. In the second part, they determine the work done by the resistive force of water, yielding 16.3 kJ. The calculations are based on the equations for work and distance traveled, and a diagram is included for clarity.
minimax
Hi, here's an interesting question on EXTREME SPORTS! (tried to make the title interesting)
hoping someone will verify my work/procedure in solving the que. or put me in the right direction :D Thank you!

Homework Statement


A waterboarder is at an angle of 25 degrees with respect to the straight central path of a top speed motor boat. She's being pulled at a constant speed of 18m/s. If the tension of her tow rope is 100N
i) How much work does the tope do on the boarder in 10.0s
ii) How much work does the resistive force of the water have on her in the same amount of time


Homework Equations


W=Fd=F(cos\vartheta)d
v=d/t



The Attempt at a Solution


i) v=d/t therefore d=vt
d=(10.0s)(18m/s)=180m travelled
W=Fd
=(100N)(180m)
=18kJ

ii) d=180m/s
W=Fd=F(cos\vartheta)d
W=(100N)(cos25)(180m)
=16.3kJ
 
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I've added a diagram, hope this helps
 

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