An American football game has been canceled b/c of bad weather... not sports but a...

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Deena Ozzy

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...physics question!? An American football game has been canceled because of bad weather in Cleveland, and two retired players are sliding like children on a frictionless ice-covered parking lot. William Perry, mass 162 kg, is gliding to the right at 7.70 m/s, and Doug Flutie, mass 81.0 kg, is gliding to the left at 10.7 m/s along the same line. When they meet, they grab each other and hang on.

(a) What is their velocity immediately thereafter?
m/s

(b) 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 same original velocities, this time moving along parallel lines 1.10 m 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. Find the velocity of their center of mass.
m/s

(d) Find their angular speed.
rad/s

(e) What fraction of their original kinetic energy is still mechanical energy after they link arms?
in %
 
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