Question: Two astronauts (Fig P11.51), each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space,

Two astronauts (Fig P11.51), 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 momentum of the 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 work does the astronaut do in shortening the rope?

Step by Step Solution

★★★★★

3.45 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c d e f L 2Mv K 2 Mv M... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-M-A-M (52).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

Two blocks connected by a rope of negligible mass are being dragged by a horizontal force F (Fig. P5.45). Suppose that F = 68.0 N, m1 = 12.0 kg, m2 = 18.0 kg, and the coefficient of kinetic friction...

Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P (see the figure). The point Q is on the floor 12 ft directly beneath P and between the carts. Cart A is being pulled...

Two electrically charged pith balls, each having a mass of 0.15 g, are suspended from light threads of equal length. Determine the magnitude of the horizontal repulsive force, F, acting on each ball...

Two astronauts, 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 speed v. Treating the astronauts as...

please fill it out on image and all the bubbles. Two astronauts (figure), each having a mass of 73.0 kg, are connected by a d = 9.5-m rope of negligible mass. They are isolated in space, orbiting...

1. [-/5 Points] DETAILS KATZPSEF1 5.P.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two blocks are connected by a rope that passes over a massless and frictionless pulley as shown in the figure...

Two astronauts are connected by a taut horizontal rope of length d . They rotate counterclockwise about the center of mass CM at the midpoint of the rope. ( a ) Treating the astronauts as particles,...

Please show you work so that I could understand it better and then preform everything on my own. c) What IS the force exerted by the block on the inclined plane Ht that scenario? 301 A curve has a...

Please explain and show your work neatly so that I can understand thank you. 33. A uniform rod of length L and mass M is allowed to rotate freely about a frictionless pin mounted as shown in the...

1. An object moves at constant speed in a circular path. Which of the following statements are true? Select two answers. (A) The velocity is changing. (B) The velocity is constant. (C) The magnitude...

The R&D division of Hancock Chemical Corp. has just developed a chemical for sterilizing the vicious Brazilian "killer bees" which are invading Mexico and the southern states of the United States....

Suppose you are acting as a financial adviser for a client. The client wishes to build a portfolio of securities and has sought your service. The client is interested in investing in the following...

chapter 1 assignments , working file open a larry lancaping garden supply file create a customer balance summary 1 2 / 1 6 /

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional...

The Filter criteria we used in lab eliminates molecules containing saponin derivatives. What are saponins and why are they undesirable in a drug?

_MAT2215_OL We Never : 12705PM = Test: My Lab Test 2 Question 7 This Test: 10 pts possible An incomplete contingency table is provided. Use this table to complete the following a. Fill in the missing...

please show work a. Last year Harrington Inc. had sales of $325,000 and a net income of $19,000, and its year-end assets were $250,000. The firm's total-debt-to-total-capital ratio was 45.0%. The...