**Angular Momentum of a Two-Astronaut System**Two astronauts, each with a mass of 70 kg, are connected by a 14-meter rope of negligible mass. They are isolated in space, orbiting their center of mass at a speed of 3.8 m/s. One astronaut pulls on the rope, shortening the distance between them to 7 meters. We need to find the new angular momentum of the system.**Diagram Explanation:**- The image shows two astronauts in space connected by a rope.- Each astronaut is represented wearing a spacesuit with arrows indicating their direction of motion.- The center of mass (CM) is marked with an "X" between them.- The original distance \(d\) between the astronauts is 14 meters, which is reduced to 7 meters by one of the astronauts pulling on the rope.- Arrows indicate the rotational movement around the center of mass.**Objective:**Calculate the new angular momentum of the system, expressed in \( \text{kg} \cdot \text{m}^2/\text{s} \).

Answered: Image /qna-images/answer/cd91b5f6-f775-4f18-8363-247d16a6642b.jpg

[LO 25.1, 21.4] Two astronauts (figure), each having a mass of 70 kg, are connected by a d = 14-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 3.8 m/s. By pulling on the rope, one astronaut shortens the distance between them by half to 7 m. What is the new angular momentum of the system? ( in units of kg m^2/s )

[LO 25.1, 21.4] Two astronauts (figure), each having a mass of 70 kg, are connected by a d = 14-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 3.8 m/s. By pulling on the rope, one astronaut shortens the distance between them by half to 7 m. What is the new angular momentum of the system? ( in units of kg m^2/s )

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

You throw a ball of mass 0.61 kg with speed 7.7 m/s at a cylinder of radius 0.22 m as shown. Theball hits the edge of the cylinder and sticks to it, and they spin about the cylinder’s central axis.What is the magnitude of the angular momentum of the ball about the center of the cylinder asthe ball approaches the cylinder?
1. A 1571-mg particle is located at the point r = -75.3 cm i - 1876.3 mm j - 63.9 dm k and is moving at a velocity " = -73.1 km/s i - 82.5 hm/s j- 123.4 m/s k. What is the angular momentum (Vector Form and Magnitude) of this particle about the origin?
Please answer question 8
Can you please help me with this question. I really appreciate your help! thank you!
An object of mass 2.75 kg is moving with a velocity v = (3.8of – 5.10k) m/s. What is the angular momentum of the mass relative to the origin when it is at the location (1.50, -1.50, 1.50) m? (Express your answer in vrector form )
Assume Earth is approximately a uniform, solid sphere that has a mass of 5.98×10^24 kg and a radius of 6.38×10^6 m. Calculate the angular momentum ?? of Earth as it spins on its central axis once each day. ??= kg·m2/s
A 1-kg particle is at a position ř=(16i+4j) m att = 2 s. If the velocity of the particle is given by v=6ťi+2tj where 20 - is meters per second and t is in seconds. What is the angular momentum of the particle at t= 2 s?
A phonograph record of Mozart's N.41 Symphony is whirling around at 103 rpm. Two balls, each of mass 1 × 10-1 kg, are sitting on the disk, and are at rest with respect to the disk. The first one, "ball 1" sits the end of the paper label, 5 cm from the center of the record. The second one, 2, sits 10 cm out from the center, on the very edge of the record, as shown in the figure. What is the ratio of the friction forces acting on them? Ratio = (friction on ball 2/friction on ball 1) ball a) 0.5 b) 2 c) 1 d) 0.25 e) Not enough information to determine. 4.
A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m from the center of the planet. What is the angular momentum, in kg m2/s, of the satellite, with respect from an axis from the center of the planet, if it completes one orbit every 1.5 × 104 s?