Question

Modern Physics

Since sporting events have shut down, you've been obsessed with marble races and decide to make your own track. (According to Wikipedia, marbles, on average, are a diameter of 13 mm,and are made of glass, which has a density of 2.5 kg/m³.)

A. Ignoring the effects of friction, what is the minimum height h so that the marble will never leave the track if it is released from rest at point A? (Treat the marble as a point mass.)

B. Using the height h you found in (A), how much force does the track exert on the marble at the ton of the first loop at point B?

C. Using the height h you found in (A), how much force does the track exert on the marble at the top of the second loop at point C?

D. Using the height h you found in (A), what is the final speed of the marble at the very end(right side) of the track?


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