The Physics of Going Fast—but Not Too Fast—on a Giant Slide

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The Physics of Going Fast—but Not Too Fast—on a Giant Slide
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If you want to attain high speeds without getting airborne, it helps to know a little something about friction.

Really, the only difference is that this is a downward-curving path with the center of this circular curve below the slide instead of above. That means the centripetal acceleration is also in the downward direction and towards the center of the circle.than the radial component of the gravitational force, which is pulling the person downward toward the Earth.

If the speed of the rider is slow enough, you don’t need a very large centripetal force to move them in a circle. The component of the gravitational force alone could be enough to achieve it. The normal force from the slide could just be some small value pushing away. Let's model the motion of a person on a downward-curved slide. I'm going to start with a rider at the top of a curve. You can see that at some point the person flies off the track and becomes a free-falling projectile:The person’s speed as they begin their ride is important.

Why water? Water is actually kind of sticky, so just adding a little bit of it could increase the friction due to its cohesive nature.

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