While on Mars, two astronauts repeat the pendulum experiment you conducted earlier this term in your physics lab. They go off script and plot the pendulum length vs. the square of the period. Their best fit is a line with y = 0.091 x and R^2=1. Recall that the theoretical period of a pendulum is T = 2pi(L/g)^1/2. Apply your understanding of mathematical modeling to determine what the constant 0.091 in the astronauts' equation of the best fit line is equal to in this case and use that to find their experimental value of g on Mars in m/s^2.

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

The gravitational force between pluto and charon is 3.61 × 1018 n. pluto has a mass of 1.3 × 1022 kg, which is only slightly greater than charon’s mass of 1.6 × 1021 kg. how far apart are pluto and charon? 2.0 × 107 m 2.4 × 1012 m 3.8 × 1014 m 5.8 × 1024 m

If you held a stone over the mouth of a well and then let it go , what would happen to the stone? explain your answer.