56. Two astronauts (Fig. P11.55), each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. Treating the astronauts as particles, calculate (a) the magnitude of the angular momen- tum of the tWo-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one of the astronauts shortens the distance between them to d/2. (c) What is the new angular momentum of the system? (d) What are the astronauts' new speeds? (e) What is the new rotational energy of the system? (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?

56. Two astronauts (Fig. P11.55), each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. Treating the astronauts as particles, calculate (a) the magnitude of the angular momen- tum of the tWo-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one of the astronauts shortens the distance between them to d/2. (c) What is the new angular momentum of the system? (d) What are the astronauts' new speeds? (e) What is the new rotational energy of the system? (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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 750 g disk and a 760 g ring, both 15 cm in diameter, are rolling along a horizontal surface at 1.3 m/s when they encounter a 13 ∘ slope. How far up the slope does the disk travel before rolling back down? How far up the slope does the ring travel before rolling back down?
Two astronauts (figure), each having a mass of 76.0 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 5.50 m/s. CM d (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum of the two-astronaut system. |kg · m²/s (b) Calculate the rotational energy of the system. 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? |kg · m²/s (d) What are the astronauts' new speeds? m/s (e) What is the new rotational energy of the system? 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? kJ Need Help? Read It Master It
Assume mars is a uniform solid sphere of mass 6.42x10^23 kg and a radius 3390 km.The length of a day on mars is 24 hours and 37 min. What is the rotational kinetic energy of the planet about its axis.
The figure shows a device that can be used to measure the speed of a bullet. The device consists of two rotating disks, separated by a distance of d = 0.872 m, and rotating with an angular speed of 101 rad/s. The bullet first passes through the left disk and then through the right disk. It is found that the angular displacement between the two bullet holes is = 0.268 rad. From these data, determine the speed of the bullet. Number IN Bullet Units Motor
A figure skater is spinning with an angular velocity of +11.9 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +3.54 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest. (a) Number Units (b) Number Units
In the figure, two particles, each with mass m = 0.88 kg, are fastened to each other, and to a rotation axis at 0, by two thin rods, each with length d = 5.6 cm and mass M = 1.3 kg. The combination rotates around the rotation axis with angular speed w = 0.28 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? M. M. Rotation axis (a) Number i Units (b) Number i Units
A figure skater is spinning with an angular velocity of +18.8 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +4.94 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest. (a) Number Units (b) Number i Units Save for Later