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Can a Cherry Dropped from 10,000 Feet Crack a Human Skull? Physics Analysis
No. A cherry (~1–2 g, ~1.5–2 cm diameter) reaches terminal velocity quickly due to low mass and high drag.
Physics Estimate
- Terminal velocity (vₜ) ≈ √(2mg / ρACd) ≈ 10–15 m/s (22–33 mph).
- Kinetic energy at impact: KE = ½mv² ≈ 0.5 × 0.0015 kg × (12 m/s)² ≈ 0.11 J.
Skull Fracture Threshold
Human skull fracture requires ~60–100 J (depending on site, angle, bone density). A cherry delivers <0.2 J — three orders of magnitude too low.
For comparison: A 150 g baseball at 40 m/s (90 mph) ≈ 120 J — can fracture skull. A cherry is harmless.
Myth likely confuses mass/velocity scaling. Air resistance dominates for small, light objects.
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