Puck 1 (0.5 kg) travels with velocity 80 m/s to the right when it collides with puck 2 (2 kg) which is initially at rest. after the collision, puck 1 moves with a velocity of -16 m/s. assume that no external forces are present and therefore the momentum for the system of pucks is conserved. what is the final velocity (in m/s) of puck 2 after the collision?

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