Two boys are sliding toward each other on a frictionless, ice-covered parking lot. Jacob, mass 45...

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Physics

Two boys are sliding toward each other on a frictionless,ice-covered parking lot. Jacob, mass 45 kg, is gliding to the rightat 7.95 m/s, and Ethan, mass 31.0 kg, is gliding to the left at10.9 m/s along the same line. When they meet, they grab each otherand hang on. (a) What is their velocity immediately thereafter?magnitude m/s direction (b) What fraction of their original kineticenergy is still mechanical energy after their collision? % (c) Thatwas so much fun that the boys repeat the collision with the sameoriginal velocities, this time moving along parallel lines 1.02 mapart. At closest approach, they lock arms and start rotating abouttheir common center of mass. Model the boys as particles and theirarms as a cord that does not stretch. Find the velocity of theircenter of mass. magnitude m/s direction (d) Find their angularspeed. rad/s (e) What fraction of their original kinetic energy isstill mechanical energy after they link arms? % (f) Why are theanswers to parts (b) and (e) so different? This answer has not beengraded yet.

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4.4 Ratings (824 Votes)

A In a headon collision where the bodies stick together kinetic energy is not conserved but momentum is We can calculate the final speed of the boys using conservation of momentum P1 P2 45795 31109 4531 V V 026 ms B To find the fraction of the energy that remains divide the final kinetic energy by the initial kinetic energy See Answer

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