An American football game has been canceled because of bad weathering Cleveland, and two retired players are sliding like children on a frictionless ice-covered parking lot. William 'Refrigerator' Perry, mass 162 kilogram, is gliding to the right at 7.26 m/s, and Doug Flutie, mass 81.0 kilogram, is gliding to the left at 11.7 m/s along the same line. When they meet, they grab each other and hang on.
(a) Find what is their velocity immediately thereafter?
m/s
(b) Obtain what fraction of their original kinetic energy is still mechanical energy after their collision?
%
(c) The athletes had so much fun that they repeat the collision with the similar original velocities, this time moving along parallel lines 1.11 meter apart. At closest approach they lock arms and start rotating about their common center of mass. Model the men as particles and their arms as a cord that does not stretch. Evaluate the velocity of their center of mass.
m/s
(d) Determine their angular speed.
rad/s
(e) Obtain what fraction of their original kinetic energy is still mechanical energy after they link arms?
%