PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 14, Problem 82P
If the mass of the earth is Me, show that the gravitational potential energy of a body of mass m located a distance r from the center of the earth is Vg = −GMem/r. Recall that the gravitational force acting between the earth and the body is F = G(Mem/r2), Eq. 13-1. For the calculation, locate the datum at r →∞. Also, prove that F is a conservative force.
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Chapter 14 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 14 - Prob. 1FPCh. 14 - If the motor exerts a constant force of 300 N on...Ch. 14 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14 - When s = 0.5 m, the spring is unstretched and the...Ch. 14 - The 5-lb collar is pulled by a cord that passes...Ch. 14 - Prob. 2PCh. 14 - The 100-kg crate is subjected to the forces shown....Ch. 14 - Determine the required height h of the roller...Ch. 14 - When the driver applies the brakes of a light...
Ch. 14 - Prob. 7PCh. 14 - The force F, acting in a constant direction on the...Ch. 14 - The 2-lb brick slides down a smooth roof, such...Ch. 14 - The two blocks A and B have weights WA = 60 lb and...Ch. 14 - A small box of mass m is given a speed of v=14gr...Ch. 14 - Prob. 18PCh. 14 - If the cord is subjected to a constant force of F=...Ch. 14 - The crash cushion for a highway barrier consists...Ch. 14 - The 25-lb block has an initial speed of v0 = 10...Ch. 14 - At a given instant the 10-lb block A is moving...Ch. 14 - Prob. 25PCh. 14 - The catapulting mechanism is used to propel the...Ch. 14 - Prob. 27PCh. 14 - Prob. 31PCh. 14 - When the 150-lb skier is at point A he has a speed...Ch. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - If the contact surface between the 20-kg block and...Ch. 14 - Prob. 8FPCh. 14 - Prob. 9FPCh. 14 - Prob. 10FPCh. 14 - Prob. 11FPCh. 14 - Prob. 12FPCh. 14 - The jeep has a weight of 2500 lb and an engine...Ch. 14 - Determine the power Input for a motor necessary to...Ch. 14 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14 - Prob. 45PCh. 14 - To dramatize the loss of energy in an automobile,...Ch. 14 - Escalator steps move with a constant speed of 0.6...Ch. 14 - Prob. 48PCh. 14 - The 1000-lb elevator is hoisted by the pulley...Ch. 14 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - The 50-lb block rests on the rough surface for...Ch. 14 - The 2-kg pendulum bob is released from rest when...Ch. 14 - Prob. 14FPCh. 14 - Prob. 15FPCh. 14 - Prob. 16FPCh. 14 - The 75-lb block is released from rest 5 ft above...Ch. 14 - Prob. 18FPCh. 14 - The girl has a mass of 40 kg and center of mass at...Ch. 14 - The 30-lb block A is placed on top of two nested...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - Prob. 71PCh. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - Prob. 76PCh. 14 - The roller coaster car having a mass m is released...Ch. 14 - The spring has a stiffness k = 200 N/m and an...Ch. 14 - Prob. 79PCh. 14 - Prob. 80PCh. 14 - When s = 0, the spring on the firing mechanism is...Ch. 14 - If the mass of the earth is Me, show that the...Ch. 14 - A rocket of mass m is fired vertically from the...Ch. 14 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14 - Prob. 85PCh. 14 - Prob. 87PCh. 14 - Prob. 90PCh. 14 - The roller coaster car has a speed of 15 ft/s when...Ch. 14 - Prob. 1RPCh. 14 - The small 2-lb collar starting from rest at A...Ch. 14 - Prob. 3RPCh. 14 - Prob. 4RPCh. 14 - Prob. 5RPCh. 14 - Prob. 6RPCh. 14 - Prob. 7RPCh. 14 - Prob. 8RP
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