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11th grade Mass and energy: E = mc² worksheet

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Mass and energy: E = mc²

Grade 11 Science Worksheet

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Circle the best answer, or write your answer on the line.

  1. Deuterium and tritium (total mass 5.030151 u) fuse into helium-4 and a neutron (total 5.011268 u). With 1 u = 931.494 MeV, what energy is released, to 0.01 MeV, Ari?

  2. In the Sun's core, four hydrogen-1 atoms (total 4.0313 u) end up as one helium-4 atom (4.002603 u). With 1 u = 931.494 MeV, what energy is released, to 0.01 MeV, Bo?

  3. One uranium-235 nucleus and a neutron (total 236.052595 u) split into barium-141, krypton-92 and three neutrons (235.866571 u). With 1 u = 931.494 MeV, what energy is released, to 0.01 MeV, Esme?

  4. Why do both fusion of light nuclei and fission of heavy nuclei release energy, Jun?

    • Both of them create new mass from nothing
    • Both make more tightly bound nuclei
    • Both destroy protons
  5. Which of these nuclei is among the most tightly bound per nucleon, Kira?

    • Iron-56
    • Hydrogen-2
    • Uranium-238
  6. Why can't iron be used as fuel for fusion or fission, Luz?

    • It is near the peak of binding
    • It is magnetic
    • Its nuclei are far too heavy to change
  7. The Sun gives out 3.828 × 10²⁶ W (NASA). Where does that energy come from, Milo?

    • Mass lost in fusion
    • Burning like a fire
    • Shrinking as it cools
  8. A hot cup of water cools down. What happens to its mass, by E = mc², Pia?

    • It rises a lot
    • It drops, too little to weigh
    • It drops by a gram or more
  9. Which process joins nuclei, and which splits them, Ren?

    • Both of them split nuclei
    • Fusion joins; fission splits
    • Fission joins; fusion splits
  10. Why is fusion hard to achieve on Earth, Zee?

    • Fusion needs uranium
    • Hydrogen is too rare
    • Nuclei must be very hot to get close
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11th grade Mass and energy: E = mc² worksheet – printable
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About this worksheet

Mass and energy: E = mc². Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use E = mc² and say why a tiny mass is a huge energy.
  • I can find the energy from a mass defect: (mass before − mass after) × 931.494 MeV per u.
  • I can explain fusion (the Sun) and fission (today's nuclear power plants) as energy sources, and why both release energy.
  • I can find how much mass equals a power plant's output over days.

Standard: HS-PS1-8

Words to know

mass defect: The mass lost when nuclei join or split; it becomes energy

fusion: Light nuclei joining into a heavier one

fission: A heavy nucleus splitting into lighter ones

atomic mass unit (u): One-twelfth of a carbon-12 atom's mass; 931.494 MeV of energy

binding energy: The energy needed to pull a nucleus apart

Common mistakes

Your child used ½mc², like kinetic energy. Mass-energy has no half: E = mc².

Your child turned the whole mass into energy. Only the small lost mass, before minus after, becomes energy.

Your child used c in km/s. E = mc² needs c in m/s: 2.99792458 × 10⁸ m/s.

Questions parents ask

What is the most common mistake with mass and energy: e = mc²?

Your child used ½mc², like kinetic energy. Mass-energy has no half: E = mc².

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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