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What is the y-component of the velocity of the CM of the two bodies?

Question

What is the y-component of the velocity of the CM of the two bodies?

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Solution

To answer this question, we need more specific information about the two bodies and their motion. However, I can explain how to generally find the y-component of the velocity of the center of mass (CM) of two bodies.

  1. First, you need to know the masses (m1 and m2) and the velocities (v1 and v2) of the two bodies. Specifically, you need the y-components of these velocities (v1y and v2y).

  2. The velocity of the center of mass in the y-direction (Vcm_y) is given by the formula:

    Vcm_y = (m1v1y + m2v2y) / (m1 + m2)

  3. Plug the known values into this formula to find the y-component of the velocity of the center of mass.

Remember, this formula assumes that the system is isolated, meaning no external forces are acting on it. If external forces are present, they could affect the velocity of the center of mass.

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