PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 15, Problem 113P
An earth satellite of mass 700 kg is launched into a free-flight trajectory about the earth with an initial speed of vA = 10 km/s when the distance from the center of the earth is rA = 15 Mm. If the launch angle at this position is φA = 70°, determine the speed vB of the satellite and its closest distance rB from the center of the earth. The earth has a mass Me = 5.976(1024) kg. Hint: Under these conditions, the satellite is subjected only to the earth‘s gravitational force, F = GMems/r2, Eq. 15-1. For part of the solution, use the conservation of energy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A satellite of mass m is put into an elliptical orbit around the earth. At point A, its distance from the earth is h1=500km and it has a velocity V1=30,000km/h. Determine the velocity V2 of the satellite as it reaches point B, a distance h2=1200km from the earth?
Question about rocket and orbit is attached.
A space shuttle is describing a circular orbit at an altitude of d= 570 km above the surface of the earth. As it passes through Point A, it
fires its engine for a short interval of time to reduce its speed by 208 m/s and begin its descent toward the earth. Determine the angle
AOB so that the altitude of the shuttle at Point B is 128 km.
d
B
A
R = 6370 km
The angle AOB is
Chapter 15 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 15 - The 0.5kg ball strikes the rough ground and...Ch. 15 - Prob. 2FPCh. 15 - Prob. 3FPCh. 15 - The wheels of the 1.5-Mg car generate the traction...Ch. 15 - Prob. 5FPCh. 15 - If the coefficient of kinetic friction between the...Ch. 15 - Prob. 3PCh. 15 - Each of the cables can sustain a maximum tension...Ch. 15 - Crates A and B weigh 100 lb and 50 lb,...Ch. 15 - Prob. 8P
Ch. 15 - Prob. 9PCh. 15 - During operation the jack hammer strikes the...Ch. 15 - For a short period of time, the frictional driving...Ch. 15 - The 2.5-Mg van is traveling with a speed of 100...Ch. 15 - Prob. 14PCh. 15 - The towing force acting on the 400-kg safe varies...Ch. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - If it takes 35 s for the 50-Mg tugboat to increase...Ch. 15 - Prob. 23PCh. 15 - The balloon has a total mass of 400 kg including...Ch. 15 - Prob. 26PCh. 15 - Prob. 30PCh. 15 - Prob. 7FPCh. 15 - The cart and package have a mass of 20 kg and 5...Ch. 15 - The 5-kg block A has an initial speed of 5 m/s as...Ch. 15 - Prob. 10FPCh. 15 - Prob. 11FPCh. 15 - The cannon and support without a projectile have a...Ch. 15 - The 5-Mg bus B is traveling to the right at 20...Ch. 15 - Prob. 36PCh. 15 - A railroad car having a mass of 15 Mg is coasting...Ch. 15 - A ballistic pendulum consists of a 4-kg wooden...Ch. 15 - Prob. 39PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - The 30-Mg freight car A and 15-Mg freight car B...Ch. 15 - Blocks A and B have masses of 40 kg and 60 kg,...Ch. 15 - Block A has a mass of 5 kg and is placed on the...Ch. 15 - Solve Prob. 15-53 if the coefficient of kinetic...Ch. 15 - Prob. 56PCh. 15 - Prob. 13FPCh. 15 - Prob. 14FPCh. 15 - The 30-lb package A has a speed of 5 ft/s when it...Ch. 15 - The ball strikes the smooth wall with a velocity...Ch. 15 - Prob. 17FPCh. 15 - Prob. 18FPCh. 15 - Prob. 58PCh. 15 - Prob. 59PCh. 15 - Prob. 61PCh. 15 - Prob. 62PCh. 15 - Prob. 63PCh. 15 - Prob. 64PCh. 15 - A 1-lb ball A is traveling horizontally at 20 ft/s...Ch. 15 - Prob. 69PCh. 15 - Prob. 73PCh. 15 - Two smooth disks A and B each have a mass of 0.5...Ch. 15 - Prob. 75PCh. 15 - The cue ball A is given an initial velocity (vA)1...Ch. 15 - Prob. 78PCh. 15 - Prob. 79PCh. 15 - A ball of negligible size and mass m is given a...Ch. 15 - Prob. 81PCh. 15 - The 20-lb box slides on the surface for which k =...Ch. 15 - Prob. 84PCh. 15 - Prob. 85PCh. 15 - Prob. 90PCh. 15 - Prob. 92PCh. 15 - Disks A and B have a mass of 15 kg and 10 kg,...Ch. 15 - Prob. 19FPCh. 15 - Prob. 20FPCh. 15 - Initially the 5-kg block is moving with a constant...Ch. 15 - Prob. 22FPCh. 15 - Prob. 23FPCh. 15 - Prob. 24FPCh. 15 - Determine the angular momentum HO of the 6-lb...Ch. 15 - Determine the angular momentum HP of the 6-lb...Ch. 15 - Prob. 96PCh. 15 - Determine the angular momentum Hp, of each of the...Ch. 15 - Prob. 98PCh. 15 - Determine the angular momentum Hp of the 3-kg...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - If the rod of negligible mass is subjected to a...Ch. 15 - The amusement park ride consists of a 200-kg car...Ch. 15 - An earth satellite of mass 700 kg is launched into...Ch. 15 - Prob. 115PCh. 15 - Prob. 116PCh. 15 - Prob. 119PCh. 15 - The gauge pressure of water at A is 150.5 kPa....Ch. 15 - Prob. 121PCh. 15 - The fountain shoots water in the direction shown....Ch. 15 - A plow located on the front of a locomotive scoops...Ch. 15 - Prob. 124PCh. 15 - Water is discharged from a nozzle with a velocity...Ch. 15 - Prob. 127PCh. 15 - Prob. 128PCh. 15 - Sand drops onto the 2-Mg empty rail car at 50 kg/s...Ch. 15 - Prob. 133PCh. 15 - A rocket has an empty weight of 500 lb and carries...Ch. 15 - Prob. 135PCh. 15 - Prob. 138PCh. 15 - The missile weighs 40 000 lb. The constant thrust...Ch. 15 - Prob. 140PCh. 15 - Prob. 1RPCh. 15 - Prob. 2RPCh. 15 - Prob. 3RPCh. 15 - Prob. 4RPCh. 15 - The 200-g projectile is fired with a velocity of...Ch. 15 - Block A has a mass of 3 kg and is sliding on a...Ch. 15 - Two smooth billiard balls A and B have an equal...Ch. 15 - Prob. 8RP
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.Similar questions
- The rocket is traveling in a free flight along an elliptical trajectory A′A and the rocket has the orbit shown. Suppose that r = 6 Mm , ra = 110 Mm , and rp = 50 Mm . The planet has no atmosphere, and its mass is 0.6 times that of the earth. (Figure 1) Determine the rocket's velocity when it is at point Aarrow_forwardA satellite of mass m is put into an elliptical orbit around the earth. At point A, its distance from the earth is h1 = 500 km and it has a velocity v1 = 30 000 km/h. Determine the velocity v2 of the satellite as it reaches point B, a distance h2 = 1200 km from the earth.arrow_forwardThe rocket is travelling in a free-flight elliptical orbit about the earth such that eccentiricty is e and it's perigee is a distance d as shown. Determine it's speed when it is at point B. Also determine the sudden decrease in speed the rocket must experience at A in order to travel in a circular orbit.arrow_forward
- 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/sarrow_forwardThe 150-kg glider B is being towed by airplane A, which is flying horizontally with a constant speed of v = 218 km/h. The tow cable has a length r = 51 m and may be assumed to form a straight line. The glider is gaining altitude and when θ reaches 16°, the angle is increasing at the constant rate = 3 deg/s. At the same time the tension in the tow cable is 1235 N for this position. Calculate the ff: a. the magnitude of the acceleration of glider B. b. aerodynamic lift L and drag D acting on the glider.arrow_forward8. The block shown was initially at rest on the plane. A force P = 500 N is applied on the block. Determine the velocity of the block after 5 seconds. 500 (N) 30° 30 kg Hx = 0.2arrow_forward
- The 150-kg glider B is being towed by airplane A, which is flying horizontally with a constant speed of v = 218 km/h. The tow cable has a length r = 51 m and may be assumed to form a straight line. The glider is gaining altitude and when e reaches 16°, the angle is increasing at the constant rate ở = 3 deg/s. At the same time the tension in the tow cable is 1235 N for this position. Calculate the aerodynamic lift L and drag D acting on the glider. Assume o = 11°. B A Part 1 Calculate the magnitude of the acceleration of glider B. Answer: a = i m/s? Attempts: 0 of 1 used Submit Answer Save for Later Part 2 The parts of this question must be completed in order. This part will be available when you complete the part above.arrow_forward1. The satellite is moving in an elliptical orbit with an eccentricity e = 0.25. Determine its speed when it is at its maximum distance A and minimum distance B from the earth. 2 Mm Barrow_forwardTwo identical 10-kg spheres are attached to the light rigid rod, which rotates in the horizontal plane centered at pin O. If the spheres are subjected to tangential forces of P = 10N , and the rod is subjected to a couple moment M = (8t) * N * m , where t is in seconds, determine the speed of the spheres at the instant t = 4s . The system starts from rest. Neglect the size of the spheres. H.W P = 10N 0.5 m M = (8t) * N * m 0.5 m- P = 10N v = 10.4 m/s Ans.arrow_forward
- To place a COmm cations satellite Into a geosynchronous orbit at an alt bove the surface of the ea the satellite is first released from a space shuttle, which is in a circular orbit at an altitude of 185 mi, and is then propelled by an upper-stage booster to its final altitude. As the satellite passes through A, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. The booster is again fired at B to insert the satellite into a geosynchronous orbit. The second firing increases the speed of the satellite by 4870 ft/s. 22 240 mi 185 mi A R= 3960 mi, Determine the speed of the satellite as it approaches Bon the elliptic transfer orbit. (You must provide an answer before moving to the next part.)arrow_forwardNonearrow_forwardThe two cars collide at right angles in the intersection of two icy roads. Car A has a mass of 1985 kg and car B has a mass of 1540 kg. The cars become entangled and move off together with a common velocity in the direction indicated. If car A was traveling 57 km/h at the instant of impact, compute the corresponding velocity of car B just before impact. --x A = 57 km/h Answer: Vg= i km/harrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY