Mark (60 kg) and Jay (75 kg) are on an ice pond, with Mark's location at x = -15 m and Jay at x = +15 m. The location of their center of mass is solved as: XCM (60 kg)(-15 m) + (75 kg)(+15 m) 60 kg + 75 kg The center of mass is as XCM = 1.67 m. Mark and Jay now hold a massless rope between them. Mark pulls the rope, making her slide up to the position x = -5 m. Jay is also pulled toward Mark as a result. Where is the final location of Jay? (Provide full solution of the problem). Hint: There are no external forces acting on the system. Therefore, the location of the center of mass is preserved

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Mark (60 kg) and Jay (75 kg) are on an ice pond, with Mark's location at x = -15 m and Jay at
x = +15 m. The location of their center of mass is solved as:
XCM =
(60 kg)(-15 m) + (75 kg)(+15 m)
60 kg + 75 kg
The center of mass is as XCM = 1.67 m.
Mark and Jay now hold a massless rope between them. Mark pulls the rope, making
her slide up to the position x = -5 m. Jay is also pulled toward Mark as a result.
Where is the final location of Jay? (Provide full solution of the problem).
Hint:
There are no external forces acting on the system. Therefore, the location of the
center of mass is preserved.
Transcribed Image Text:Mark (60 kg) and Jay (75 kg) are on an ice pond, with Mark's location at x = -15 m and Jay at x = +15 m. The location of their center of mass is solved as: XCM = (60 kg)(-15 m) + (75 kg)(+15 m) 60 kg + 75 kg The center of mass is as XCM = 1.67 m. Mark and Jay now hold a massless rope between them. Mark pulls the rope, making her slide up to the position x = -5 m. Jay is also pulled toward Mark as a result. Where is the final location of Jay? (Provide full solution of the problem). Hint: There are no external forces acting on the system. Therefore, the location of the center of mass is preserved.
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