Rotational Motion: conservation of angular momentum, energy.

Two astronauts (Fig.), each having a mass of 70.0 kg, are connected by a 11.0 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.70 m/s.

(a) Treating the astronauts as particles, calculate the magnitude of the angular momentum.

(b) Calculate the rotational energy of the system.

(c) By pulling on the rope, one of the astronauts shortens the distance between them to 5.00 m. 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 work does the astronaut do in shortening the rope?

Two astronauts (Fig.), each having a mass of 70.0 kg, are connected by a 11.0 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.70 m/s.

(a) Treating the astronauts as particles, calculate the magnitude of the angular momentum.
kg · m2/s
(b) Calculate the rotational energy of the system.
J
(c) By pulling on the rope, one of the astronauts shortens the distance between ...

Solution Summary

Two astronauts connected by string orbiting each other in free space. The five parter related to angular momentum and energy is solved.

Physics: Work and energy, linear momentum, and rotational motion. ...Conservation of energy (elastic collision): ... τ = Iα. Hence the angular acceleration (α) is: ...

Motion of merry-go-round before and after person ... By conservation of angular momentum, 360v' = 2779, or v ... The final rotational kinetic energy of the merry-go ...

Conservation of momentum and energy, rotation. ... time will be given by second equation of motion [s = ut ... First problem is based on conservation of linear momentum...

7 problems on rotational motion and two problems on ... between translational kinetic energy and rotational kinetic energy? ... Solve this using conservation of energy...

Rotational Motion: Motion of clutch plates when engaged. ... (a) According to law of conservation of angular momentum, as there is no external torque acting on ...

The solution to Rotational Motion. ... As the woman sets into motion with a speed of 1.5 m/s ... By the law of conservation of angular momentum, L_W + L_T = 189 + 495ω ...

... R Girl(mass M) Rotational MI = I. ... go-round move opposite to the direction of motion of the ... throws the rock = - Iω = - Iv'/R Applying conservation of angular...

...Rotational motions diagrams are provided for slender rods. ... By the principle of conservation of mechanical ... as applied to the rotational motion, applied torque ...

... set includes various problems on circular motion, such as ... It also has problems dealing with conservation of angular... l2 The radius of rotation is r = = = 1m 22 v ...