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 isolatedin space, orbiting their center of mass at speeds of 5.50 m/s.CMd(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 angularmomentum 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 systemwhen he shortened the rope?kJNeed Help?Read ItMaster It

Since the question contains more than three sub parts, solution for the first three is provided…

Answered: Two astronauts (figure), each having a…

Similar questions

Two children (m = 29.0 kg each) stand opposite each other on the edge of a merry-go-round. The merry-go-round, which has a mass of 1.70 ✕ 102 kg and a radius of 1.6 m, is spinning at a constant rate of 0.48 rev/s. Treat the two children and the merry-go-round as a system. (a) Calculate the angular momentum of the system, treating each child as a particle. (Give the magnitude.) kg · m2/s(b) Calculate the total kinetic energy of the system. J(c) Both children walk half the distance toward the center of the merry-go-round. Calculate the final angular speed of the system. rad/s
The position vector of a particle of mass 2.20 kg as a function of time is given by r = (6.00 î + 4.10 tj), where r is in meters andt is in seconds. Determine the angular momentum of the particle about the origin as a function of time. |k) kg · m²/s
A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m. The rotational inertia of the merry-go-round about its axis of rotation is 150 kgm2. The child catches a ball of mass 1.0 kg travelling at 16 m/s at an angle Ø=37º thrown by a friend. If the merry-go-round starts at rest, what is the angular speed of the merry-go-round just after the ball is caught.
Suppose a star has a mass three times that of our sun (that is, the star's mass will be 6 x 1030 kg) and starts out as a sphere with an initial radius several times larger than our sun (3.48 x10° m). It is initially spinning with one revolution every 12 days. What is its angular momentum, in kg m2/s?
A point mass of O.4 kg is set to rotate about a fixed axis 0.7 m away. The mass is initially at rest and undergoes a constant angular acceleration of 9.3 rad/s². What is the magnitude of the total acceleration after 0.2 revolutions?
A space station shaped like a giant wheel has a radius 103 m and a moment of inertia of 4.97 x 108 kg-m². A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1 g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. m/s²
A figure skater has a mass of 65 kg and an angular momentum of 200 kg*m2/s during a camel spin. During this spin, the average radius of gyration changes from 0.33 meters to 0.65 meters in 0.62 seconds. What is the figure skater’s average angular acceleration in degrees/s2 during this 0.62 seconds?
A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose motor delivers a torque of magnitude 15 N-m about the central axis of the disk. About that axis and with a torque applied for 48 millisecond, what is the magnitude of the angular momentum?
A massless, frictionless merry-go-round of radius R has one child of mass M sitting on the outer edge and is spinning with angular velocity ωi. If the child walks towards the center until she is 0.50R from the center, by what factor does the angular velocity increase? (i.e. solve for F where ωf=Fωi)