Two astronauts (figure), each having a mass of 78.0 kg, are connected by a d = 11.0-m rope of negligible mass. They are

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Two Astronauts Figure Each Having A Mass Of 78 0 Kg Are Connected By A D 11 0 M Rope Of Negligible Mass They Are 1 (100.9 KiB) Viewed 41 times

Two astronauts (figure), each having a mass of 78.0 kg, are connected by a d = 11.0-m rope of negligible mass. They are Isolated In space, orbiting their center of mass at speeds of 4.90 m/s. CM d (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. 2102.1 Have you included the contribution from both astronauts? kg. m²/s (b) Calculate the rotational energy of the system. 1872.78 x You know the speed and mass of each astronaut. How do you calculate the kinetic energy? Does it matter that the motion is circular? KJ (c) By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. What is the new angular momentum of the system? 2102.1 x You are correct that the angular momentum does not change, but your result for the initial angular momentum from part (a) is incorrect. kg. m²/s (d) What are the astronauts' new speeds? 10.78 m/s (e) What is the new rotational energy of the system? 9064.25 X You know the speed and mass of each astronaut. How do you calculate the kinetic energy? kJ (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope?