(a) Explanation Given information: The radius of circular orbit ( r A ) is 1,400 mi. The radius of smaller orbit ( r B ) is 1,300 mi. The reducing speed [ ( Δ v ) A ] is − 86 ft/s . The mass of moon ( M ) is 5.03 × 10 21 lb ⋅ s 2 /ft . Calculation: Write the general equation of velocity in circular orbits ( v ). v = G M r (1) Find the speed of the vehicle [ ( v A ) 1 ] at A in circular orbit using Equation (1). ( v A ) 1 = G M r A Substitute 34.4 × 10 − 9 ft 4 /lb ⋅ s 4 for G , 5.03 × 10 21 lb ⋅ s 2 /ft for M , and 1,400 mi for r A . ( v A ) 1 = 34.4 × 10 − 9 × 5.03 × 10 21 ( 1 , 400 mi × 5 , 280 ft 1 mi ) = 4.8382 × 10 3 ft/s Find the speed of the vehicle [ ( v B ) 2 ] at B in circular orbit using Equation (1). ( v B ) 2 = G M r B Substitute 34.4 × 10 − 9 ft 4 /lb ⋅ s 4 for G , 5.03 × 10 21 lb ⋅ s 2 /ft for M , and 1,300 mi for r A . ( v B ) 2 = 34.4 × 10 − 9 × 5.03 × 10 21 ( 1 , 300 mi × 5 , 280 ft 1 mi ) = 5 (b) To determine Find the amount by which its speed should be reduced as vehicle approaches B to insert it into the smaller circular orbit.

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, 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

(a)

To determine

Find the speed of the vehicle as it approaches B on the elliptic path.

(b)

To determine

Find the amount by which its speed should be reduced as vehicle 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

Using hand drawing both of them

6. Draw the isometric drawing for this problem(15%)

Please draw the section view of the following problems

Chapter 12 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 12.1 - A 1000-lb boulder B is resting on a 200-lb...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 - Blocks A and B are released from rest in the...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 - Two blocks weighing WA and WB are at rest on a...Ch. 12.1 - Objects A, B, and C have masses mA, mB, and mC,...Ch. 12.1 - Prob. 12.4FBP Ch. 12.1 - Blocks A and B have masses mA and mB,...

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.

Find the speed of the vehicle as it approaches B on the elliptic path.

Solution Summary: The author calculates the general equation of velocity in circular orbits using Equation (1).

Concept explainers

Videos

Find the speed of the vehicle as it approaches B on the elliptic path.

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

Want to see the full answer?

Chapter 12 Solutions