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Consider a system consisting of four masses placed along the x axis: There is a 2 kg mass placed at x = 8 m. There

Consider a system consisting of four masses placed along the x axis:

There is a 2 kg mass placed at x = 8 m.

There is a 18 kg mass placed at x = -18 m.

There is a 15 kg mass placed at x = 27 m.

There is a 8 kg mass placed at x = 59 m.

Calculate the x coordinate of the center of mass of the system, in m.

Consider a system consisting of two masses placed in the x-y plane:

There is a 2 kg mass placed at coordinates (2 m, 19 m).

There is a 5 kg mass placed at coordinates (-20 m, 0 m).

How far is the center of mass of this system from the origin, in m?

Consider a system consisting of a uniform disk of mass 24 kg and radius 3.1 m, and then a 13 kg point mass placed at the edge of the disk. Calculate how far the center of mass of this system is from the center of the disk, in m.

Consider two particles. There is an 15 kg mass traveling with speed 15 m/s to the right, and a 33 kg mass traveling with speed 32 m/s to the left. The two collide at x = 9 m and have a collision. What is the velocity of the center of mass of the system after the collision, in m/s?

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