Question

Two identical twins hold on to a rope, one at each end, on a smooth, frictionless...

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 76.0 kg. The rope of negligible mass is 5.0 m long and they move at a speed of 5.30 m/s.

(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?

J

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