A spaceship of mass 100 kg, headed toward Earth, has a speed of 12,000 m/s relative to the planet when it is 5 Earth radii from Earth’s center. Neglect the effects of Earth’s atmosphere on the spaceship. ME=5.98x1024 kg, RE=6.37x106 m, G=6.67x10-11 m3/kg-s2.

Express energy in scientific notation for example 123456 is 1.2346x10^5

Find the initial gravitational potential energy of the system.

Find the kinetic energy of the system.

Find the mechanical energy of the system.

Find the spaceship’s speed when it reaches the Earth’s surface. Round it to a whole number.