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?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdce0254f-c57a-4702-9013-ef864d8f78cf%2F74f9a093-d523-4fa6-bdb7-f6830d16573d%2F8hdir5d_processed.png&w=3840&q=75)
Transcribed Image Text: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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