4) Two astronauts each of mass 100 kg undergo a close encounter in outer space. The second astronaut is moving at a speed of 2.1 m/s relative to the first on a straight line path whose distance at closest approach to the first is 10 m. The first astronaut extends a rigid, massless rod which the second grabs just as he is 10 m away. a) After the collision, what is the velocity of the centre of mass of the system of two astro- nauts? b) What is the angular velocity of the system about its centre of mass? c) What fraction of initial kinetic energy is lost in the collision? d) If the first astronaut instead had extended the rod so that the second caught it at an angle of 45°, what would be the fraction of energy lost in the initial collision?

4) Two astronauts each of mass 100 kg undergo a close encounter in outer space. The second astronaut is moving at a speed of 2.1 m/s relative to the first on a straight line path whose distance at closest approach to the first is 10 m. The first astronaut extends a rigid, massless rod which the second grabs just as he is 10 m away. a) After the collision, what is the velocity of the centre of mass of the system of two astro- nauts? b) What is the angular velocity of the system about its centre of mass? c) What fraction of initial kinetic energy is lost in the collision? d) If the first astronaut instead had extended the rod so that the second caught it at an angle of 45°, what would be the fraction of energy lost in the initial collision?

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 47AP: A 0.500-kg sphere moving with a velocity expressed as (2.00i3.00j+1.00k)m/s strikes a second,...

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