Hints for solving # 4
- 1.Calculate the total mass of the dust over the entire Earths surface.
- Use the density to get the volume of the dust.
- Use the volume of the dust to calculate the radius of a sphere with that volume and then double the radius to get the diameter.
- Dont round your answer until the end. Make sure you end up with the right units.
Hints for solving #5
- Use the density to calculate the total volume of dust from the mass of the dust.
- Calculate the volume of one dust particle with the radius given.
- Use the results from the first two steps above to determine the total number of particles. Imagine that total volume of dust were packed into individual small particle of the volume calculated in #2.
- Calculate the cross sectional area of a single particle.
- Multiply the area from #4 by the total number of particles to get the potential dust cloud shadow and compare to the Earths surface area.