What if there was a black hole in your pocket?

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The lesson explores the catastrophic consequences of a coin-sized black hole appearing near Earth, highlighting two scenarios based on its mass. If a nickel’s mass were to collapse into a black hole, it would evaporate almost instantly, causing a massive explosion. Conversely, if the black hole had the diameter of a coin, its immense gravitational pull would tear apart everything in its vicinity, including Earth, leading to a dramatic reshaping of the solar system as the black hole consumed the planet and altered the orbits of nearby celestial bodies.

The Impact of a Coin-Sized Black Hole: A Cosmic Catastrophe

Imagine a black hole the size of a coin suddenly appearing near you. What would happen? The short answer is grim: you would not survive. However, the specifics of your demise depend on whether the black hole has the mass of a coin or the diameter of one.

The Mass of a Coin: A Brief but Explosive Encounter

Consider a scenario where a US nickel, weighing approximately 5 grams, collapses into a black hole. This black hole would have an incredibly tiny radius of about 10-30 meters. To put this into perspective, a hydrogen atom measures about 10-11 meters. Thus, this black hole would be as minuscule compared to an atom as an atom is to the Sun.

Such a small black hole would have an extremely short lifespan, evaporating through Hawking radiation in just 10-23 seconds. During this fleeting existence, its 5 grams of mass would convert into 450 terajoules of energy, resulting in an explosion three times more powerful than the atomic bombs dropped on Hiroshima and Nagasaki combined. In this scenario, not only would you perish, but the coin would also be obliterated.

The Diameter of a Coin: A Gravitational Nightmare

If the black hole had the diameter of a common coin, its mass would be significantly greater, surpassing even that of Earth. Such a black hole would possess a surface gravity a billion billion times stronger than our planet’s. The tidal forces would be so intense that they would tear your cells apart before you even realized what was happening.

While the fundamental laws of gravity remain unchanged, the gravitational experience around such dense objects would be vastly different. The gravitational pull extends across the observable universe, weakening with distance. On Earth, your head and feet are roughly equidistant from the planet’s center. However, standing on a nickel-sized black hole, your feet would be hundreds of times closer to the center, subjecting them to a gravitational force tens of thousands of times stronger than that on your head, effectively ripping you apart.

The Cosmic Consequences: Earth and Beyond

The devastation wouldn’t stop with you. This black hole would become a dominant gravitational force in what could be termed the Earth-Moon-Black-Hole-of-Death system. One might assume the black hole would sink to Earth’s core and consume it from within. Instead, Earth would move towards the black hole, bobbing around it as if in orbit, losing mass with each pass—a truly eerie scenario.

As Earth is gradually consumed, it would collapse into a disk of hot rock orbiting the black hole. By the time the feeding frenzy ends, the black hole would have doubled its mass, and the Moon’s orbit would become highly elliptical. The solar system would experience profound effects, with tidal forces potentially disrupting near-Earth asteroids and parts of the asteroid belt, sending debris careening through space. Impacts could become a frequent occurrence for millions of years, while the planets remain largely in their orbits.

Ultimately, the black hole that was once Earth would continue orbiting the Sun, taking Earth’s place. In this scenario, you would also meet your end.

This exploration into the hypothetical consequences of a coin-sized black hole was inspired by a question on the AskScience subreddit and the insightful response by Matt Caplin. For more fascinating content, visit his blog, Quarks and Coffee. Join the discussion on our subreddit or learn more about black holes and neutron stars by clicking here.

Special thanks to our supporters on Patreon for making this bonus video possible!

  1. Reflect on the concept of a black hole with the mass of a coin. How does this scenario challenge your understanding of mass and energy conversion?
  2. Consider the brief existence of a black hole with the mass of a coin. What does this teach you about the nature of Hawking radiation and its effects?
  3. How does the idea of a black hole with the diameter of a coin reshape your perception of gravitational forces and their potential impact on the human body?
  4. Discuss the potential cosmic consequences of a black hole with the diameter of a coin. How does this scenario alter your view of Earth’s place in the solar system?
  5. What are your thoughts on the hypothetical Earth-Moon-Black-Hole-of-Death system? How does this scenario influence your understanding of orbital dynamics?
  6. Reflect on the potential long-term effects on the solar system if Earth were consumed by a black hole. How does this scenario affect your perspective on cosmic stability?
  7. How does the article’s exploration of a coin-sized black hole enhance your appreciation for the complexities of astrophysics and cosmic phenomena?
  8. What insights have you gained about the balance between scientific imagination and reality from this hypothetical scenario of a coin-sized black hole?
  1. Black Hole Simulation

    You’ll use a computer simulation to visualize the gravitational effects of a black hole with different masses and diameters. As you run the simulation, observe how objects behave when they approach a black hole, and make sure to record your observations. This will help you understand how the gravity of a black hole influences nearby objects.

  2. Energy Conversion Experiment

    In this classroom experiment, you’ll demonstrate energy conversion. Using a small-scale model, you’ll calculate the energy released when a mass is converted into energy, and then compare it to the 450 terajoules released by a black hole. This hands-on activity will help you connect the concepts of mass-energy equivalence and the immense power of black holes.

  3. Gravitational Force Calculation

    You’ll calculate the gravitational force exerted by a black hole with the mass of Earth and compare it to the force exerted by Earth itself. This activity will deepen your understanding of tidal forces and how they affect objects near a black hole, giving you insight into the intense gravitational pull of these cosmic phenomena.

  4. Creative Writing: A Day in the Life Near a Black Hole

    Let your imagination run wild as you write a short story or diary entry from the perspective of someone experiencing the effects of a coin-sized black hole. This creative exercise will allow you to explore the scientific concepts you’ve learned in a fun and imaginative way.

  5. Debate: The Fate of the Solar System

    You’ll take part in a classroom debate about the potential long-term effects if a black hole were to replace Earth in the solar system. You’ll need to research and present arguments on how this scenario could impact other planets and celestial bodies. This debate will challenge you to think critically about the consequences of such a drastic cosmic event.

Black HoleA region in space where the gravitational pull is so strong that nothing, not even light, can escape from it. – Scientists study black holes to understand the extreme conditions of gravity in the universe.

MassA measure of the amount of matter in an object, typically measured in kilograms or grams. – The mass of an object affects how much gravitational force it exerts on other objects.

GravityThe force that attracts two bodies towards each other, proportional to their masses and inversely proportional to the square of the distance between them. – Gravity is what keeps the planets in orbit around the Sun.

EnergyThe capacity to do work or produce change, existing in various forms such as kinetic, potential, thermal, and more. – The energy from the Sun is essential for life on Earth and drives weather patterns.

RadiationThe emission or transmission of energy in the form of waves or particles through space or a material medium. – Astronomers use radiation from distant stars to learn about their composition and movement.

ExplosionA violent expansion or bursting with noise, often releasing energy rapidly. – A supernova is a massive explosion that occurs at the end of a star’s life cycle.

EarthThe third planet from the Sun in our solar system, home to diverse life forms and ecosystems. – Earth’s atmosphere protects us from harmful solar radiation and helps regulate temperature.

OrbitThe curved path of an object around a star, planet, or moon, especially a periodic elliptical revolution. – The Moon’s orbit around Earth takes approximately 27.3 days to complete.

TidalRelating to the rise and fall of sea levels caused by the gravitational forces exerted by the Moon and the Sun. – Tidal forces can cause significant changes in the Earth’s oceans, leading to high and low tides.

AsteroidA small rocky body orbiting the Sun, mostly found in the asteroid belt between Mars and Jupiter. – Scientists monitor asteroids to assess any potential threat they might pose to Earth.

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