Explanation Given: For a circular orbit, ∑ F n = m a n : F = m v 2 r F = G M m r 2 Then G M m r 2 = m v 2 r Or: v 2 = G M r Then ( v A ) c i r c 2 = ( 1068 × 10 − 12 ft 3 / l b ) ( 5.03 × 10 21 l b . s 2 / ft ) 1400 mi Or: ( v A ) c i r c = 4898.29 ft / s And ( v B ) c i r c 2 = ( 1068 × 10 − 12 ft 3 / l b ) ( 5.03 × 10 21 l b To determine (b) Amount by which its speed should be reduced as it approaches B to insert it into the smaller circular orbit.

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 12.2, Problem 12.89P

To determine

(a)

Speed of the vehicle when it approaches B on the elliptic path.

To determine

(b)

Amount by which its speed should be reduced as it approaches B to insert it into the smaller circular orbit.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.2, Problem 12.88P

Chapter 12.2, Problem 12.90P

Students have asked these similar questions

A cylinder and a disk are used as pulleys, as shown in the figure. Using the data given in the figure, if a body of mass m = 3 kg is released from rest after falling a height h 1.5 m, find: a) The velocity of the body. b) The angular velocity of the disk. c) The number of revolutions the cylinder has made. T₁ F Rd = 0.2 m md = 2 kg T T₂1 Rc = 0.4 m mc = 5 kg ☐ m = 3 kg

(read image) (answer given)

11-5. Compute all the dimensional changes for the steel bar when subjected to the loads shown. The proportional limit of the steel is 230 MPa. 265 kN 100 mm 600 kN 25 mm thickness X Z 600 kN 450 mm E=207×103 MPa; μ= 0.25 265 kN

Chapter 12 Solutions

Vector Mechanics for Engineers: Dynamics

Ch. 12.1 - A 1000-Ib boulder B is resting on a 200-Ib...Ch. 12.1 - Marble A is placed in a hollow tube, and the tube...Ch. 12.1 - The two systems shown start from rest. On the...Ch. 12.1 - Prob. 12.CQ4P Ch. 12.1 - People sit on a Ferris wheel at points A, B, C,...Ch. 12.1 - Crate A is gently placed with zero initial...Ch. 12.1 - Prob. 12.F2P Ch. 12.1 - Objects A, B, and C have masses mA, mB, and...Ch. 12.1 - Blocks A and B have masses mAand mB, my...Ch. 12.1 - Blocks A and B have masses mAand mB, my...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

(a) Speed of the vehicle when it approaches B on the elliptic path.

Solution Summary: The author explains the speed of the vehicle when it approaches B on the elliptic path.