Proposals for dealing with radioactive waste include shooting it into the Sun. Consider a waster container that is simply dropped from rest in the vicinity of the Earth's orbit. With what speed will it hit the Sun?

Here are some constants that we might need:

G = 6.67 x 10^-11Nm^2/kg^2

Radius (Earth) = 6.38 x 10^6 m

Mass (Earth) = 5.98 x 10^24 kg

Mass = 1.99 x 10^30 kg

1 A.U = 1.49 x 10^11 m

Answer: 6.2 x 10^5 m/s