Explanation Given: G M J = 319 G M E Conservation of energy, Point A: T A = 1 2 m ( v A − Δ v A ) 2 V A = − G M J m r A G M J = 319 G M E = 319 g R E 2 R E = 6.37 × 10 6 m G M J = 319 G M E = 319 ( 9.81 m / s 2 ) ( 6.37 × 10 6 m ) 2 G M J = 126.98 × 10 15 m 3 / s 2 r A = 350 × 10 6 m V A = − ( 126.98 × 10 15 m 3 / s 2 ) m ( 350 × 10 6 m ) V A = − ( 362.8 × 10 6 ) m Point B: T B = 1 2 m v B 2 V B = − G M J m r B V B = − ( 126.98 × 10 15 m 3 / s 2 ) m ( 100 × 10 6 m ) V B = − ( 1269.8 × 10 6 ) m T A + V A = T B + V B : 1 2 m ( v A − Δ v A ) 2 − 362

12th Edition

ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

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 13.2, Problem 13.103P

To determine

Decrease in speed Δv at point A which will place the spacecraft into the required orbit.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.2, Problem 13.102P

Chapter 13.2, Problem 13.104P

Students have asked these similar questions

A satellite is in a circular earth orbit of radius I'min = 1.67R, where R is the radius of the earth. What is the minimum velocity boost Av necessary to reach point B, which is a distance max = 2.68R from the center of the earth? At what point in the original circular orbit should the velocity increment be added? Answer: Av= i min max B m/s

A satellite describes an elliptic orbit about a planet of mass M . The minimum and maximum values of the distance r from the satellite to the center of the planet are, respectively, r0 and r1. Use the principles of conservation of energy and conservation of angular momentum to derive the relationwhere h is the angular momentum per unit mass of the satellite and G is the constant of gravitation.

Question about rocket and orbit is attached.

Chapter 13 Solutions

Vector Mechanics For Engineers

Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - Prob. 13.2P Ch. 13.1 - Prob. 13.3P Ch. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5P Ch. 13.1 - Prob. 13.6P Ch. 13.1 - Prob. 13.7P Ch. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - An athlete is holding 30 lb of weights at a height...

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.

Decrease in speed Δ v at point A which will place the spacecraft into the required orbit.

Solution Summary: The author explains that the Delta v at point A will place the spacecraft into the required orbit.

Concept explainers

Videos

Decrease in speed Δv at point A which will place the spacecraft into the required orbit.

Want to see the full answer?

Chapter 13 Solutions