MHB Work energy principle and power

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A girl with a mass of 50 kg descends a water slide from a height of 5m, starting with a speed of 2 m/s. Without resistance, her speed at the bottom would be 10.2 m/s, but due to an average resistance of 40N, her actual speed is 8 m/s. The calculated length of the slide based on the work-energy principle is 25m, which aligns with the textbook answer. The discussion highlights the application of the work-energy principle in solving problems involving energy conservation and resistance. Understanding these concepts is crucial for accurately determining speeds and distances in physics problems.
Shah 72
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A girl of mass 50 kg travels down a water slide. She starts at the top with a speed of 2 m/s and descends through a vertical height of 5m.
a) Assuming that there is no resistance, find her speed when she reaches the bottom of the slide
I got the ans 10.2m/ s
b) the girl's actual final speed is 8m/s because there is resistance of average value of 40N. Find the length of the water slide.
I get the ans 37.5
The ans in textbook is 25m
Pls help
 
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Shah 72 said:
A girl of mass 50 kg travels down a water slide. She starts at the top with a speed of 2 m/s and descends through a vertical height of 5m.
a) Assuming that there is no resistance, find her speed when she reaches the bottom of the slide
I got the ans 10.2m/ s
b) the girl's actual final speed is 8m/s because there is resistance of average value of 40N. Find the length of the water slide.
I get the ans 37.5
The ans in textbook is 25m
Pls help
I got the ans of 25m using work energy principle.
Thanks!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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