Q1. General relativity says that the total orbital energy of the binary system consisting of two neutron stars will decrease over time through the emission of gravitational waves. If this happens slowly sufficient that the orbit stays circular, response the following (and explain your answers)
(a) will the distance between the two stars increase, decrease, or stay same?
(b) Will the kinetic energy of the two stars increase, decrease, or stay same?
(c) Will the gravitational potential energy increase, decrease, or stay same?
Q2. An automobile travels 3 km due north, then 5km north-east. Find out the magnitude and direction of its displacement and direction of its displacement graphically and analytically.