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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

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2. Three point masses are placed at the following positions on the coordinate system. mį = m at (0,0), m2 = 2m at (3,0), and m3 = 3m at (0,-1). (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). Please simplify your answers as much as possible
Transcribed Image Text:2. Three point masses are placed at the following positions on the coordinate system. mį = m at (0,0), m2 = 2m at (3,0), and m3 = 3m at (0,-1). (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). Please simplify your answers as much as possible
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