A) A system composed of the following particles: a 0.500 kgkg particle at the origin; a 1.25 kgkg particle at xx = 0.150 mm, yy = 0.200 mm; and a 0.750 kgkg particle at xx = 0.200 mm, yy = -0.800 mm. Find the xx-coordinate of the center of mass of the system. B) Find the yy-coordinate of the center of mass of the system. C) Three objects lie along the x-axis. A 3.00 kg object is at the origin, a 2.00 kg object is at xx = 1.50 mm, and a 1.20 kg object is at an unknown position. The center of mass of the system of three objects is at x = -0.200 mm. What is the position of the 1.20 kg object?
A) A system composed of the following particles: a 0.500 kgkg particle at the origin; a 1.25 kgkg particle at xx = 0.150 mm, yy = 0.200 mm; and a 0.750 kgkg particle at xx = 0.200 mm, yy = -0.800 mm. Find the xx-coordinate of the center of mass of the system.
B) Find the yy-coordinate of the center of mass of the system.
C) Three objects lie along the x-axis. A 3.00 kg object is at the origin, a 2.00 kg object is at xx = 1.50 mm, and a 1.20 kg object is at an unknown position. The center of mass of the system of three objects is at x = -0.200 mm. What is the position of the 1.20 kg object?
D) You hold a 0.125 kg glider AA and a 0.500 kg glider BB at rest on an air track with a compressed spring of negligible mass between them. When you release the gliders, the spring pushes them apart so that they move in opposite directions. When glider A has moved 0.960 mm to the left from its starting position, how far to the right from its starting position has glider B moved?
E) Three objects each have mass mm. Each object feels a force from the other two, but not from any other object. Initially the first object is at x=−Lx=−L, y=0y=0; the second object is at x=+Lx=+L, y=0y=0; and the third object is at x=0x=0, y=Ly=L. The momentum of the system of the particles at the initial time is zero. At a later time the first object is at x=−L/3x=−L/3, y=+L/4y=+L/4; and the second object is at x=+L/2x=+L/2, y=−Ly=−L. At this later time, where is the third object? Find the xx-position of the third object.
F) Find the yy-position of the third object.
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