2. Three point masses are placed at the following positions on the coordinate system. m1 = m at (0,0), m2 = 2m at (3,0), and m3 (a) Calculate the gravitational field at point P(3,-1). (Draw the fields and write your answer in unit vector notation) (b) Find the gravitational potential energy of the system of three masses. (c) If we bring a fourth mass of m4 = 4m from infinity and place it at point P(3,-1), how much potential enegy of the system will change? (d) Find the gravitational force acting on m4 (in unit vector notation). 3m at (0,-1). Please simplify your answers as much as possible

2. Three point masses are placed at the following positions on the coordinate system. m1 = m at (0,0), m2 = 2m at (3,0), and m3 (a) Calculate the gravitational field at point P(3,-1). (Draw the fields and write your answer in unit vector notation) (b) Find the gravitational potential energy of the system of three masses. (c) If we bring a fourth mass of m4 = 4m from infinity and place it at point P(3,-1), how much potential enegy of the system will change? (d) Find the gravitational force acting on m4 (in unit vector notation). 3m at (0,-1). Please simplify your answers as much as possible