Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) and perpendicular to the ice. The mass of each twin is 83.0 kg. The rope of negligible mass is 3.0 m long and they move at a speed of 4.80 m/s. center of mass (a) What is the magnitude, in kg • m2/s, of the angular momentum of the system comprised of the two twins? | kg • m²/s (b) They now pull on the rope and move closer to each other so that the rope between them is now half as long. Determine the speed, in m/s, with which they move now. m/s (c) The two twins have to do work in order to move closer to each other. How much work, in joules, did they do?

Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) and perpendicular to the ice. The mass of each twin is 83.0 kg. The rope of negligible mass is 3.0 m long and they move at a speed of 4.80 m/s. center of mass (a) What is the magnitude, in kg • m2/s, of the angular momentum of the system comprised of the two twins? | kg • m²/s (b) They now pull on the rope and move closer to each other so that the rope between them is now half as long. Determine the speed, in m/s, with which they move now. m/s (c) The two twins have to do work in order to move closer to each other. How much work, in joules, did they do?

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Description: Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) andperpendicular to the ice. The mass of each twin is 83.0

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 18PQ: Two metersticks are connected at their ends as shown in Figure P10.18. The center of mass of each...

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