Question: Close to a planet's surface the weight force of an object can be expressed as F = mg N, where g is the acceleration due to gravity in ms2 and m is the mass of the object in kg. Let x stand for the height of the object above the surface of the planet. Part 1) Write an integral expression for the work done by the gravitational force on an object with mass m as it is moved from x = a to x = b where b > a. W: fxf2Cde a where 33 || x2 where C is a constant, greater than zero. Part 2) Solve this integral to give an expression for the amount of work done by the gravitational force. W: J Part 3) If the satellite is released from rest at I), what speed will it have when it returns to the point a? U = III/S