Within a certain type of star called a neutron star, the material at the center has a mass density of 1.0 × 1018 kg/m3. if a tiny sphere of this material of radius 1.0 × 10–5 m were somehow transported to the surface of the earth, what would be the weight of this sphere?

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax