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 similar line. When they meet, they grab each other and hang on.
(a) Obtain what is their velocity immediately thereafter?
m/s
(b) Find 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. Calculate the velocity of their center of mass.
m/s
(d) Calculate their angular speed.
rad/s
(e) Obtain what fraction of their original kinetic energy is still mechanical energy after they link arms?
%