Three point particles are fixed in position in an xy plane. Two of them, particle A of mass 7 g and particle B of mass 13 g, are shown in the figure with a separation of daB = 0.579 m at angle O = 30°. Particle C, with mass 8 g, is not shown. The net gravitational force acting on particle A due to particles B and C is 2.76 x 10 14 N at an angle of -163.8°. from the positive x axis. What are (a) the x coordinate and (b) the y coordinate of particle C? %3D

In the figure, three 9.74 kg spheres are located at distances d₁ = 0.953 m, and d₂ = 0.215 m. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the net gravitational force on sphere B due to spheres A and C? (a) Number i (b) Number i dr B Units Units î ✪

Two particles of masses M1 = 40000 kg and M2 = 2300 kg are initially at rest an infinite distance apart. As a result of the gravitational force the two masses move towards each other. Calculate the speed of mass M1 when their separation distance is 32.5 km. Calculate the speed of mass M2 at this separation distance.

Problem 2:  An object with mass m1 = 42 kg is located at the origin. Another object with mass m2 = 86 kg is located at l2 = 0.105 m. Consider position la = 0.035 m between the two objects and along the axis connecting them. Refer to the diagram. The gravitational field of m1 is denoted by g1. Enter an expression for the gravitational field g1 at position la in terms of m1, la, and the gravitational constant G.  The gravitational field of m2 is denoted by g2. Enter an expression for the gravitational field of m2 at la in terms of m2, m1, la, l2 and the gravitational constant G.  Enter and expression for the total gravitational field at position la, g, in terms of the quantities defined in the problem.