A roller coaster is going over a hill with a radius of 20 m. a) How fast does it have to go for passengers to feel weightless at the top? b) Suppose the roller coaster was running on the Moon, where the acceleration is only 1.7 m/s^2. How fast would it need to travel for you to feel weightless there?

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!