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A 58-kg woman and a 104-kg man walk toward each other, each moving with a speed...

A 58-kg woman and a 104-kg man walk toward each other, each moving with a speed v = 0.5 m/s relative to the ground. What is the speed of their center of mass in m/s?

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Answer #1

The center of mass of the system of the two persons is given by

Differentiating both sides with respect to time we get

where we have used dot notation for time derivatives.

The two persons are moving towards each other, that is, if the man is moving to the right, the woman will be moving to the left. If we take the velocity to the right as positive, then the velocity to the left will be negative.

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