physics

posted by .

Two astronauts, each having a mass of 78.5 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.50 m/s. Treating the astronauts as particles, calculate each of the following.

(a) the magnitude of the angular momentum of the system
kg · m2/s

(b) the rotational energy of the system
kJ

By pulling on the rope, the astronauts shorten the distance between them to 5.00 m.
(c) What is the new angular momentum of the system?
kg · m2/s

(d) What are their new speeds?
m/s

(e) What is the new rotational energy of the system?
kJ

(f) How much work is done by the astronauts in shortening the rope?
kJ

  • physics -

    Hints:

    when they shorten the rope, there is no external moment on he system so the angular momentum CAN NOT change. Get the new (higher)speeds from conservation of angular momentum.

    they did work shortening the rope so the energy goes up

    the work done equals the change in kinetic energy of the system

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics-rotational dynamics

    Two astronauts, each having a mass of 75.0 kg, are connected by a 10.0 m rope of negligible mass. THey are isolated in space,orbiting their center of mass at speeds of 5.00 m/s. calculate A)magnitude of the angular momentum of the …
  2. Physics (very long question)

    Two astronauts (Fig. P8.68), each having a mass of 84.0 kg, are connected by a 10.0 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway betwen them at a speed of 5.80 m/s. Treating the …
  3. physics

    Two astronauts, each having a mass of 89.0 kg, are connected by a 10.0 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.60 m/s. Treating the astronauts as …
  4. physics

    Two astronaut, as shown in the figure, each having a mass of 62.0 kg, are connected by a 12.00 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.00 m/s. Treating …
  5. physics

    Two astronaut, as shown in the figure, each having a mass of 62.0 kg, are connected by a 12.00 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.00 m/s. Treating …
  6. physics

    Two astronaut, as shown in the figure, each having a mass of 62.0 kg, are connected by a 12.00 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.00 m/s. Treating …
  7. physcis

    Two astronaut, as shown in the figure, each having a mass of 62.0 kg, are connected by a 12.00 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 5.00 m/s. Treating …
  8. physics HELPP!!!!!!!

    Two astronaut, as shown in the figure, each having a mass of 88.0 kg, are connected by a 10.00 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 6.00 m/s. By …
  9. Physics

    Two astronauts, each having a mass M are connected by a length of rope of length d have a negligible mass. They are isolated in space, orbiting their center of mass at an angular speed of ù0. By pulling on the rope, one of the astronauts …
  10. Physics

    Two astronauts, each having a mass of 61.9 kg, are connected by a 14.7 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.57 m/s. Calculate the magnitude of the initial angular momentum …

More Similar Questions