please use energy conservation and only solve for 58a-h

101 X10 26 57. Neptune has a radius of 2.48 x 10 m and an escape velocity of 23,300 m/s. What is the mass of Neptune? G=6.67 x 10-11 Nan2/kg?. (d) Using Newton's 2"d law on the rocket, find the final Kinetic Energy of the rocket in orbit in terms of m.M.R. O Z terms of m, M,R. (e) Find the Total Mechanical Energy of the rocket when it is in uniform Circular orbit at a distance of 2 from Planet X's center, in 58. A rocket of mass m, launches from the surface of planet X, which has a mass of M, and radius R. The rocket does work to get from the surface of planet X into a circular orbit of radius 2R. (a) State the initial Potential Energy of the rocket in terms of m, M, R. (f) Using the General Law of Conservation of Energy find the Work done by the rocket to shoot it from the surface of the planet into orbit in terms of m,M,R. ( b ) State the final Potential Energy of the rocket in terms of m, M,R. (g) Now the rocket fires once again while in orbit away from the planet, with a destination of being at rest at infinity. Find the amount of work required to send an object from a circular orbit of 2R from planet X to infinity, in terms of m, M,R. ( c ) Draw a Free Body Diagram on the rocket when it is in orbit (h) Which required more work: _launching from rest at surface of the planet X to a uniform circular orbit at 2R _ uniform circular orbit at 2R to infinity _same