PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
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 solutionStudents 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?
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
A 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.
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_forward2) The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N/m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity u of the collar as it passes position B. Ans. V=4.93 m m 1.5 m 30° 50 N k= 30 N/m 2m 3arrow_forwardA 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_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 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_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 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_forward
- Disc X has a mass of 25 slugs and is traveling with a velocity of Vx= 39 ft/s as shown. Meanwhile, Disc Y has a mass of 12 slugs and is traveling with a velocity of Vy = 27 ft/s. If the coefficient of restitution between the two discs is e= 0.76, calculate their speeds immediately after the impact. Kindly include the diagram with step-by-step solution with some explanations. Y X 3arrow_forwardA spring, having an unstretched length of 1.0 m has one end attached to the 5-kg ball, as shown. Determine the angle 0 that the spring makes with the vertical if the ball has a speed of 2 m/s tangent to the horizontal circular path. The spring constant k is 100 N/m. Hint: Let L be the stretched length of the spring (in meters), hence the force on the spring is F = k(L – 1) = 100(L – 1) in Newton. Scoring: If you will end up with system of two nonlinear equations involving L and 0 variables correctly, When you solve for L and 0 correctly using numerical methods or any method, 0.25 marrow_forwardA spring, having an unstretched length of 1.0 m has one end attached to the 5-kg ball, as shown. Determine the angle 0 that the spring makes with the vertical if the ball has a speed of 2 m/s tangent to the horizontal circular path. The spring constant k is 100 N/m. Hint: Let L be the stretched length of the spring (in meters), hence the force on the spring is F = k(L – 1) = 100(L – 1) in Newton. Scoring: If you will end up with system of two nonlinear equations involving L and 0 variables correctly, you get 15 points. When you solve for L and 0 correctly using numerical methods or any method, 0.25 marrow_forward
- Direct central impact occurs between a 100lbs body moving to the right at 5 ft per second and a body of weight W moving to the left at 3 ft per sec. The coefficient of restitution e = 0.5. After impact the 100lb body rebounds to the left at 2ft/s. Determine the weight W of the other body. (lbs)arrow_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_forwardA spacecraft is describing an elliptic orbit of minimum altitude hA = 2400 km and maximum altitude hB = 9600 km above the surface of the earth. Determine the speed of the spacecraft at A.arrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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