1) A first point object (M1) is positioned at (x,y) = (0,0). Second and third identical point objects (M2) are positioned at (-3R,0) and (3R,0), respectively. Determine expressions {G, M1, M2, R} for the following:
1.1) the magnitude of the gravitational force applied by the 2nd and 3rd objects onto the 1st object;
1.2) the potential energy of the system
1.3) the work required to separate the three objects so as to make them infinitely far from each other.
1) A first point object (M1) is positioned at (x,y) = (0,0). Second and third identical...
1) A first point object (M1) is positioned at (x,y) = (0,0). Second and third identical point objects (M2) are positioned at (-3R,0) and (3R,0), respectively. Determine expressions {G, M1, M2, R} for the following: 1.1) the magnitude of the gravitational force applied by the 2nd and 3rd objects onto the 1st object; 1.2) the potential energy of the system 1.3) the work required to separate the three objects so as to make them infinitely far from each other.
3) The first point object (M1) is positioned at (x,y) = (0,0) and it moved to (0, -4R). Then, the first object is released from rest and it travels back to (0,0). Second and third identical point objects (M2) are positioned at (-3R,0) and (3R,0), respectively. Determine expressions {G, M1, M2, R} for the following: 3.1) the kinetic energy of the first object when it returns to (0,0); 3.2) the speed of the first object when it returns to (0,0);