So why do colliding blocks compute pi? Colliding Blocks - Part 2 of 3

So why do colliding blocks compute pi? Colliding Blocks - Part 2 of 3

Assessment

Interactive Video

Physics

11th - 12th Grade

Hard

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The video explores a physics problem involving two sliding blocks in an idealized world with no friction and perfectly elastic collisions. The surprising result is that the number of collisions corresponds to the digits of π. The video explains this phenomenon using phase space, conservation of energy and momentum, and geometric representations. It highlights the inscribed angle theorem and how it relates to the number of collisions. The video concludes by emphasizing the importance of phase space in translating dynamic problems into geometric ones.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the text explain the relationship between the number of collisions and the digits of π?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the angle Theta in the context of the collisions?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the implications of the approximation that the tangent of a small value is approximately equal to the value itself.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the overall lesson that the text aims to convey regarding dynamics and geometry?

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