About 36,000 km from Earth's surface, an Earth observatory satellite with a net mass of 55.6 kg moving at 11,300 km per hour impacts a 1.41 kg piece of stationary space debris. The debris embeds into the satellite. The radius and mass of Earth are 6.37 * 10³km and 5.97*10²⁴kg respectively.

a) How does the velocity of the satellite change? b) What is the gravitational energy of the satellite due to it's location in orbit?