PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 13, Problem 123P
To determine
The speed of the rocket at
elliptical orbit to reach point
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Question about rocket and orbit is attached.
A spacecraft traveling along a parabolic path toward the planet Jupiter is expected to reach point vA of magnitude 26.9 km/s. Its engines will then be fired to slow it down, placing it into an elliptic orbit which will bring it to within 100 × 103 km of Jupiter. Determine the decrease in speed ? v at point A which will place the spacecraft into the required orbit. The mass of Jupiter is 319 times the mass of the earth.
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?
Chapter 13 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 13 - Prob. 1FPCh. 13 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13 - A spring of stiffness k = 500 N/m is mounted...Ch. 13 - Prob. 4FPCh. 13 - Block B rests upon a smooth surface. If the...Ch. 13 - The 6-lb particle is subjected to the action of...Ch. 13 - If blocks A and B of mass 10 kg and 6 kg...Ch. 13 - Determine the time needed to pull the cord at B...Ch. 13 - Prob. 12PCh. 13 - Block A has a weight of 8 lb and block B has a...
Ch. 13 - The 2-Mg truck is traveling at 15 m/s when the...Ch. 13 - The motor lifts the 50-kg crate with an...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - The 50-kg block A is released from rest. Determine...Ch. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 31PCh. 13 - The tractor is used to lift the 150-kg load B with...Ch. 13 - Prob. 35PCh. 13 - Prob. 39PCh. 13 - The 400-lb cylinder at A is hoisted using the...Ch. 13 - Prob. 43PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 51PCh. 13 - The block rests at a distance of 2 m from the...Ch. 13 - Determine the maximum speed that the jeep can...Ch. 13 - A pilot weighs 150 lb and is traveling at a...Ch. 13 - The sports car is traveling along a 30 banked road...Ch. 13 - If the 10-kg ball has a velocity of 3m/ s when it...Ch. 13 - Prob. 12FPCh. 13 - Prob. 53PCh. 13 - The 2-kg block B and 15-kg cylinder A are...Ch. 13 - Determine the maximum constant speed at which the...Ch. 13 - Cartons having a mass of 5 kg are required to move...Ch. 13 - The 2-kg spool S fits loosely on the inclined rod...Ch. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - At the instant B = 60, the boys center of mass G...Ch. 13 - Prob. 62PCh. 13 - Prob. 66PCh. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - Prob. 76PCh. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Determine the constant angular velocity of the...Ch. 13 - The 0.2-kg ball is blown through the smooth...Ch. 13 - The 2-Mg car is traveling along the curved road...Ch. 13 - The 0.2-kg pin P is constrained to move in the...Ch. 13 - Determine the magnitude of the resultant force...Ch. 13 - The path of motion of a 5-lb particle in the...Ch. 13 - The boy of mass 40 kg is sliding down the spiral...Ch. 13 - Using a forked rod, a 0.5-kg smooth peg P is...Ch. 13 - The collar has a mass of 2 kg and travels along...Ch. 13 - The forked rod is used to move the smooth 2-lb...Ch. 13 - Prob. 109PCh. 13 - Prob. 110PCh. 13 - Prob. 113PCh. 13 - A communications satellite is in a circular orbit...Ch. 13 - Prob. 115PCh. 13 - Prob. 117PCh. 13 - Prob. 118PCh. 13 - Prob. 119PCh. 13 - The rocket is in free flight along an elliptical...Ch. 13 - Prob. 123PCh. 13 - Prob. 124PCh. 13 - Prob. 129PCh. 13 - Prob. 130PCh. 13 - Prob. 131PCh. 13 - The rocket is traveling around the earth in free...Ch. 13 - Prob. 1RPCh. 13 - Prob. 2RPCh. 13 - Block B rests on a smooth surface. If the...Ch. 13 - Prob. 4RPCh. 13 - Prob. 5RPCh. 13 - The bottle rests at a distance of 3ft from the...Ch. 13 - Prob. 7RP
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- A child having a mass of 30 kg holds her legs up as shown as she swings downward from rest at Ø1 = 30°. Her center of mass is located at point G1. When she is at the bottom position Ø = 0°, she suddenly lets her legs come down, shifting her center of mass to position G2. Determine her speed in the upswing due to this sudden movement and the angle Ø2 to which she swings before momentarily coming to rest. Treat the child's body as a particle. %3D 3 m 02 2.80 m 0, = 30° G2 G2arrow_forwardA 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 isarrow_forwardThe 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 v of the collar as it passes position B. Use point A as datum (starting point).arrow_forward
- 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 un- stretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the con- stant 50-N force. Calculate the velocity v of the collar as it passes position B. Use point A as datum.arrow_forwardThe 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_forwardWith a mass of 2.0 kg, the ball B (vB1) = 2.4m/s and rotates in an orbit with a radius of r1 = 0.8 m. From this moment on, the rope attached to it is 1.2m / s. Find the velocity of ball B at the moment r2 D 0.5 m since it is pulled with its velocity Vr = as shown in the figure. Also calculate the work required to pull the rope. %3Darrow_forward
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