VECTOR MECH. FOR EGR: STATS & DYNAM (LL
12th Edition
ISBN: 9781260663778
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 14.2, Problem 14.45P
To determine
Find the velocity of base satellite and sub satellite.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A spacecraft approaching the planet Saturn reaches point A with a velocity vA of magnitude 68.8 × 103 ft/s. It is to be placed in an elliptic orbit about Saturn so that it will be able to periodically examine Tethys, one of Saturn’s moons. Tethys is in a circular orbit of radius 183 × 103 mi about the center of Saturn, traveling at a speed of 37.2 × 103 ft/s. Determine (a) the decrease in speed required by the spacecraft at A to achieve the desired orbit, (b) the speed of the spacecraft when it reaches the orbit of Tethys at B.
Q.1. A block of mass m = 0.5 kg is pushed against a horizontal spring of spring
constant k = 450 N/m and negligible mass. The spring is compressed a distance x
from equilibrium, and then released from rest. The block travels along a frictionless
horizontal surface and reaches point B with a speed vg =
12 m/s.
Take g = 10 m/s2.
The compression of the spring is:
a. x = 0.16 m
b. x = 0.467 m
c. x = 0.533 m
B.
d. x = 0.4 m
A spacecraft of mass m describes a circular orbit of radius ị around
the earth. (a) Show that the additional energy AE that must be
imparted to the spacecraft to transfer it to a circular orbit of larger
radius r, is
GMm(r2 – r¡)
ΔΕ=
where M is the mass of the earth. (b) Further show that if the transfer
from one circular orbit to the other is executed by placing the space-
craft on a transitional semielliptic path AB, the amounts of energy
AE, and AEg which must be imparted at A and B are, respectively,
proportional to r, and r¡:
ΔΕΞ
ΔΕΔΕ, ΔΕ
Chapter 14 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - An airline employee tosses two suitcases in rapid...Ch. 14.1 - Car A weighing 4000 lb and car B weighing 3700 lb...Ch. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9, assuming...
Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three particles A, B, and C....Ch. 14.1 - For the system of particles of Prob. 14.13,...Ch. 14.1 - A 13-kg projectile is passing through the origin O...Ch. 14.1 - Prob. 14.16PCh. 14.1 - A 2-kg model rocket is launched vertically and...Ch. 14.1 - An 18-kg cannonball and a 12-kg cannonball are...Ch. 14.1 - 14.19 and 14.20 Cruiser A was traveling east at 60...Ch. 14.1 - 14.19 and 14.20 Cruiser A was traveling east at 60...Ch. 14.1 - Prob. 14.21PCh. 14.1 - Two spheres, each of mass m, can slide freely on a...Ch. 14.1 - In a game of pool, ball A is moving with a...Ch. 14.1 - Prob. 14.24PCh. 14.1 - Prob. 14.25PCh. 14.1 - In a scattering experiment, an alpha particle A is...Ch. 14.1 - Derive the relation HO=rmv+HG between the angular...Ch. 14.1 - Prob. 14.28PCh. 14.1 - Prob. 14.29PCh. 14.1 - Show that the relation MA=HA, where HA is defined...Ch. 14.2 - Determine the energy lost due to friction and the...Ch. 14.2 - In Prob. 14.3, determine the energy lost (a) when...Ch. 14.2 - Prob. 14.33PCh. 14.2 - Determine the energy lost as a result of the...Ch. 14.2 - Prob. 14.35PCh. 14.2 - Prob. 14.36PCh. 14.2 - Prob. 14.37PCh. 14.2 - Ball B is suspended from a cord of length l...Ch. 14.2 - A 15-lb block B starts from rest and slides on the...Ch. 14.2 - A 40-lb block B is suspended from a 6-ft cord...Ch. 14.2 - Prob. 14.41PCh. 14.2 - 14.41 and 14.42 In a game of pool, ball A is...Ch. 14.2 - Prob. 14.43PCh. 14.2 - In a game of pool, ball A is moving with the...Ch. 14.2 - Prob. 14.45PCh. 14.2 - Prob. 14.46PCh. 14.2 - Four small disks A, B, C, and D can slide freely...Ch. 14.2 - In the scattering experiment of Prob. 14.26, it is...Ch. 14.2 - Three identical small spheres, each weighing 2 lb,...Ch. 14.2 - Three small spheres A, B, and C, each of mass m,...Ch. 14.2 - Prob. 14.51PCh. 14.2 - Prob. 14.52PCh. 14.2 - Two small disks A and B of mass 3 kg and 1.5 kg,...Ch. 14.2 - Two small disks A and B of mass 2 kg and 1 kg,...Ch. 14.2 - Three small identical spheres A, B, and C, which...Ch. 14.2 - Prob. 14.56PCh. 14.3 - A stream of water with a density of = 1000 kg/m3...Ch. 14.3 - A jet ski is placed in a channel and is tethered...Ch. 14.3 - Tree limbs and branches are being fed at A at the...Ch. 14.3 - Prob. 14.60PCh. 14.3 - Prob. 14.61PCh. 14.3 - Prob. 14.62PCh. 14.3 - Prob. 14.63PCh. 14.3 - Prob. 14.64PCh. 14.3 - Prob. 14.65PCh. 14.3 - Prob. 14.66PCh. 14.3 - Prob. 14.67PCh. 14.3 - Prob. 14.68PCh. 14.3 - Prob. 14.69PCh. 14.3 - Prob. 14.70PCh. 14.3 - Prob. 14.71PCh. 14.3 - Prob. 14.72PCh. 14.3 - Prob. 14.73PCh. 14.3 - Prob. 14.74PCh. 14.3 - Prob. 14.75PCh. 14.3 - Prob. 14.76PCh. 14.3 - The propeller of a small airplane has a...Ch. 14.3 - Prob. 14.78PCh. 14.3 - Prob. 14.79PCh. 14.3 - Prob. 14.80PCh. 14.3 - Prob. 14.81PCh. 14.3 - Prob. 14.82PCh. 14.3 - Prob. 14.83PCh. 14.3 - Prob. 14.84PCh. 14.3 - Prob. 14.85PCh. 14.3 - Prob. 14.86PCh. 14.3 - Solve Prob. 14.86, assuming that the chain is...Ch. 14.3 - Prob. 14.88PCh. 14.3 - Prob. 14.89PCh. 14.3 - Prob. 14.90PCh. 14.3 - Prob. 14.91PCh. 14.3 - Prob. 14.92PCh. 14.3 - A rocket sled burns fuel at the constant rate of...Ch. 14.3 - Prob. 14.94PCh. 14.3 - Prob. 14.95PCh. 14.3 - Prob. 14.96PCh. 14.3 - Prob. 14.97PCh. 14.3 - Prob. 14.98PCh. 14.3 - Determine the distance traveled by the spacecraft...Ch. 14.3 - A rocket weighs 2600 lb, including 2200 lb of...Ch. 14.3 - Determine the altitude reached by the spacecraft...Ch. 14.3 - Prob. 14.102PCh. 14.3 - Prob. 14.103PCh. 14.3 - Prob. 14.104PCh. 14 - Three identical cars are being unloaded from an...Ch. 14 - A 50-kg mother and her 26-kg son are sledding down...Ch. 14 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 14 - Prob. 14.108RPCh. 14 - Mass C, which has a mass of 4 kg, is suspended...Ch. 14 - Prob. 14.110RPCh. 14 - A 6000-kg dump truck has a 1500-kg stone block...Ch. 14 - For the ceiling-mounted fan shown, determine the...Ch. 14 - Prob. 14.113RPCh. 14 - Prob. 14.114RPCh. 14 - Prob. 14.115RPCh. 14 - A chain of length l and mass m falls through a...
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
- Slider C has a mass of 0.5 kg and may move in a slot cut in arm AB, which rotates at constant speed in a horizontal plane. The slider is attached to a spring of constant k = 150 N/m, which is unstretched when r = 0. When arm AB rotates about the vertical axis, the slider moves without friction outward along the smooth slot cut. Determine for the position r = 80 mm: a) The constant speed (V) of the slider. b) The normal force (N) exerted on the slider by arm AB. A r=80mm Barrow_forwardPROBLEM 13.19 The system shown, consisting of a 20-kg collar A and a 10-kg counterweight B, is at rest when a constant 500-N force is applied to collar A. (a) Determine the velocity of A just before it hits the support at C. (b) Solve part a assuming that the counterweight B is replaced by a 98.1-N downward force. Ignore friction and the mass of the pulleys. V₁ = 3.16 m/s = 5.48 m/sarrow_forwardProblem 13.1 Blocks A and B are identical, and each have a mass of 10 kg. Block B is at rest when it is hit by block A which is moving with velocity VA = 6 m/s just before impact. Blocks A and B stick together after the impact. You may neglect friction during the impact. After the impact, the velocity of blocks A and B decreases due to friction. The coefficient of kinetic friction between all surfaces is μ = 0.20. Use conservation principles (including the system diagrams) to answer the following. (a) Determine the velocity of block A and B immediately after A hits B. (b) Determine the impulse exerted by block A on block B during the impact. (c) Determine the time required for the velocity of the blocks to drop to 1 m/s after the impact. (d) Determine the distance traveled by the blocks during this time interval. Before the impact VA = 6 m/s B After the impact, blocks A and B travel together. A B (a) 1 m/sarrow_forwardHow much energy per pound should be imparted to a satellite in order to place it in a circular orbit at an altitude of (a) 400 mi, (b) 4000 mi?arrow_forwardPROBLEM NO. 3 A 5-kg collar slides from A to B along a frictionless vertical rod as shown. The spring attached to the collar has an undeformed (initial) length of 4 m and a spring constant of 30 N/m. What is the collar's velocity at point B? 8.0 m A B 1.5 marrow_forwardPROBLEM 12.6 A 0.1-kg model rocket is launched vertically from rest at time t=0 with a constant thrust of 10 N for one second and no thrust for t > 1 s. Neglecting air resistance and the decrease in mass of the rocket, determine (a) the maximum height h reached by the rocket, (b) the time required to reach this maximum height. h = 460 m t = 10.19 sarrow_forwardA 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.arrow_forwardapplied mechanics 2arrow_forwardA. Determine the magnitude of force of the rod on the particle when theta is 30 degrees. B. Determine the magnitude of the normal force of the slot on the particle when theta is 30 degrees.arrow_forwardFreight car A with a gross weight of 194000 Ib is moving along the horizontal track in a switching yard at 1.9 mi/hr. Freight car B with a gross weight of 107000 Ib and moving at 2.6 mi/hr overtakes car A and is coupled to it. Determine (a) the common velocity V of the two cars as they move together after being coupled and (b) the loss of energy |AE| due to the impact. 2.6 mi/hr 1.9 mi/hr B A Answers: (a) V = i mi/hr ( b) |ΔΕΙ- i ft-lbarrow_forward5. A sattelite is moving in an elliptical orbit with an eccentricity e = 0.20. Determine its speed at its maximum distance A and minumum distance B from the earth. 2 Mm B Aarrow_forwardFreight car A with a gross weight of 182000 lb is moving along the horizontal track in a switching yard at 2.1 mi/hr. Freight car B with a gross weight of 179000 lb and moving at 3.1 mi/hr overtakes car A and is coupled to it. Determine (a) the common velocity V of the two cars as they move together after being coupled and (b) the loss of energy |AE| due to the impact. 3.1 mi/hr 2.1 mi/hr B A Answers: (a) V = i 2.595 mi/hr ( b) | ΔΕ- ft-lbarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_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