From YOU to the SUN: How Many Clacks Does Everything Make?

A 1 kg block, a wall, and a heavy object sliding in. Count every hit (block on block, and block on wall). You are 26 clacks. A car is 121. Earth is 7,677,322,286,012. The Sun is 4,430,648,164,068,857. Every count is exact: N = ⌈π / arctan(√(m/M))⌉ − 1, about π × √M. Up to the Great Pyramid we simulate every collision, and the count on screen is the simulation. From the Moon up nobody can, so the count comes from the exact formula (160-digit arithmetic, cross-checked) and the motion is shown compressed in time. Weights are rounded real-world values (sources below). Block sizes on screen are not to scale. The model is 1-D, frictionless and perfectly elastic, with classical physics only (no gravity, no relativity). Closest gaps assume the small block starts 1 m from the wall. Chapters 0:00 1 kg vs YOU: 26 clacks 0:23 A car and an elephant 0:43 Why π? The circle behind the count 1:10 Blue whale, ISS, Eiffel Tower, aircraft carrier (31,415 = digits of π), Great Pyramid 2:08 The Moon and the planets: exact counts 3:26 The Sun: 4,430,648,164,068,857 clacks 3:55 The pattern: N ≈ π × √M 4:33 How many clacks are YOU? 4:59 Back to 1 kg Masses used: you 70 kg (illustrative), car 1,500 kg, African bull elephant 6,000 kg, blue whale 150,000 kg, ISS 420,000 kg (NASA), Eiffel Tower 10,100 tonnes (official figure), Nimitz-class carrier about 100,000 tonnes, Great Pyramid about 6 million tonnes, planets and Sun from the NASA planetary fact sheets (Moon 7.346e22, Mercury 3.301e23, Mars 6.417e23, Venus 4.867e24, Earth 5.972e24, Uranus 8.681e25, Neptune 1.024e26, Saturn 5.683e26, Jupiter 1.898e27, Sun 1.989e30 kg). Same blocks, same π, a billion times bigger:    • 1 kg vs a GOOGOLPLEX kg: How Many Clacks?   (1 kg vs a GOOGOLPLEX kg) Why does π show up at all?    • Why Do Colliding Blocks Count π? (31,415,9...   Next: the 5-round fight is coming. Credits: Gregory Galperin, "Playing pool with π" (2003). 3Blue1Brown made this puzzle famous. All simulations are exact event-driven physics rendered by TumbleWorks. No voiceover, just the clacks. Comment your weight and we will count your clacks. More physics and maths simulations:    / @tumbleworks   #physics #maths #simulation