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 4.5 m long and they move at a speed of 4.20 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?

Question

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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 4.5 m long and they move at a speed of 4.20 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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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 4.5 m long and they move at a speed of 4.20 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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