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 75.0kg.The rope of negligible mass is 4.5mlong and they move at a speed of 5.00m/s.

 

(a)What is the magnitude, in kgm²/s, of the angular momentum of the system comprised of the two twins? Treat the two twins as point particles.kgm²/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