# Mathematics

# Resources

Physics:

Basic/Interesting question to solve:

The diameter of earth is 12,756 km. Know that we know that:

  • What is the circumference of Earth at the equator?
  • What is the circumference of Earth at the 42nd latitude?
  • What's the volume of earth?
  • What's the surface area?
  • A plane travels at 900km per hour
    • how long does it take to fly from top to bottom?
    • It flies at 12.7km from the surface. How long now?
    • It has acceleration of 1 m/s^2. How long now?
  • Calculate the volume of each:
    • 0–35km Crust
    • 35–2,890km Mantle
    • 2,890–5,150km Outer core
    • 5,150–6,360km Inner core

Gravity

  • How much gravitational force does the moon have on the earth?
  • How much does the sun have?
  • What are the tides different? Earth friction? Positioning of moon + sun? Natural dissonance of tides compounding?

Relativity

  • I am standing at a clock tower (hint: twin paradox)
    • I travel for 1 hour at the speed of light away from the clock. I look at my watch. What is the time on my watch? I look at the clock. What is the time on the clock?
    • I travel for 1 hour at the speed of light back to the clock. I look at my watch. What is the time on my watch? I look at the clock. What is the time on the clock?