Satellites: orbital speed and period

Grade 11 Science Worksheet - Challenge Me

NameDate

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

  1. Earth's GM is 398,600 km³/s² and its radius is 6371 km. For a model satellite 400 km up, inside the ISS's range, what is the period in minutes, to the nearest tenth, Ari?

  2. Earth's GM is 398,600 km³/s² and its radius is 6371 km. For a model satellite 1000 km up, what is the period in minutes, to the nearest tenth, Bo?

  3. Earth's GM is 398,600 km³/s² and its radius is 6371 km. For a model satellite in a high test orbit 2000 km up, what is the period in minutes, to the nearest tenth, Esme?

  4. Read this first

    Circular orbits around Earth, worked out from Earth's GM (computed from NASA's GM)

    Height (km)Speed (km/s)Period (min)
    6007.5696.5
    15007.12115.8
    100004.93347.4
    357863.071435.7
  5. Using the table, how do speed and period change as the height goes up, Jun?

    • Speed falls and the period grows
    • Speed rises and the period grows
    • Both stay about the same
  6. Using the table, at which height does one orbit take about one day, Kira?

    • 35,786 km
    • 10,000 km
    • 600 km
  7. Using the table, about how many times longer is the period at 10,000 km than at 600 km, Luz?

    • About 2 times
    • About 3.6 times
    • About 16.7 times
  8. Noah says the Moon moves faster than the ISS because its orbit is much bigger. Agree or disagree?

    • Agree: bigger orbits need higher speeds
    • Agree: the Moon is heavier
    • Disagree: the ISS is about 7.5 times as fast
  9. Pia says there is no gravity at the ISS's height. Agree or disagree?

    • Agree: gravity stops above the air
    • Disagree: g there is still about 8.5–8.8 N/kg
    • Agree: things float there, so gravity there is zero
  10. A model satellite moves from an orbit 1000 km up to one 2000 km up. How do its speed and period change, Ren?

    • Both grow
    • Speed rises; period falls
    • Speed falls; period grows
  11. Why does draw a line from thin air make the ISS's orbit shrink over time, Tala?

    • Drag adds energy
    • Drag takes away energy, so it sinks lower
    • Drag pushes it outward
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Satellites: orbital speed and period

Answer Key - Grade 11 Science Worksheet - Challenge Me

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

  1. Earth's GM is 398,600 km³/s² and its radius is 6371 km. For a model satellite 400 km up, inside the ISS's range, what is the period in minutes, to the nearest tenth, Ari?

    92.4 min
  2. Earth's GM is 398,600 km³/s² and its radius is 6371 km. For a model satellite 1000 km up, what is the period in minutes, to the nearest tenth, Bo?

    105 min
  3. Earth's GM is 398,600 km³/s² and its radius is 6371 km. For a model satellite in a high test orbit 2000 km up, what is the period in minutes, to the nearest tenth, Esme?

    127 min
  4. Read this first

    Circular orbits around Earth, worked out from Earth's GM (computed from NASA's GM)

    Height (km)Speed (km/s)Period (min)
    6007.5696.5
    15007.12115.8
    100004.93347.4
    357863.071435.7
  5. Using the table, how do speed and period change as the height goes up, Jun?

    • Speed falls and the period grows
    • Speed rises and the period grows
    • Both stay about the same
  6. Using the table, at which height does one orbit take about one day, Kira?

    • 35,786 km
    • 10,000 km
    • 600 km
  7. Using the table, about how many times longer is the period at 10,000 km than at 600 km, Luz?

    • About 2 times
    • About 3.6 times
    • About 16.7 times
  8. Noah says the Moon moves faster than the ISS because its orbit is much bigger. Agree or disagree?

    • Agree: bigger orbits need higher speeds
    • Agree: the Moon is heavier
    • Disagree: the ISS is about 7.5 times as fast
  9. Pia says there is no gravity at the ISS's height. Agree or disagree?

    • Agree: gravity stops above the air
    • Disagree: g there is still about 8.5–8.8 N/kg
    • Agree: things float there, so gravity there is zero
  10. A model satellite moves from an orbit 1000 km up to one 2000 km up. How do its speed and period change, Ren?

    • Both grow
    • Speed rises; period falls
    • Speed falls; period grows
  11. Why does draw a line from thin air make the ISS's orbit shrink over time, Tala?

    • Drag adds energy
    • Drag takes away energy, so it sinks lower
    • Drag pushes it outward