Q1. The density of the earth, at any distance r from its centre, is about P = (14.2 - 11.6r/R) x 10^3 kg/m^3.
Where R is the radius of the earth. Show that this density leads to a moment of inertia I = 0.330 MR^2 about an axis during the centre, where M is the mass of the earth.
Q2. A certain particle has the life time of 10^-7 s, while measured at rest. How far does it go before decaying if its speed is 0.99 c when it is created?