Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 11, Problem 84EAP
Section 11.6 found an equation for vmaxof a rocket fired in deep space. What is vmaxfor a rocket fired vertically from the surface of an airless planet with free-fall acceleration g? Referring to Section 11.6, you can write an equation for ?Pythe change of momentum in the vertical direction, in terms of dm and dvy. ?Pyis no longer zero because now gravity delivers an impulse. Rewrite the momentum equation by including the impulse due to gravity during the time dt during which the mass changes by dm. Pay attention to signs! Your equation will have three differentials, but two are related through the fuel burn rate R. Use this relationship—again pay attention to signs; m is decreasing—to write your equation in terms of dm and dvy. Then integrate to find a modified expression for vmax, at the instant all the fuel has been burned.
a. What is vmaxfor a vertical launch from an airless planet? Your answer will be in terms of mR, the empty rocket mass: mF0, the initial fuel mass; vex, the exhaust speed; R, the fuel burn rate; and g.
b. A rocket with a total mass of 330.000 kg when fully loaded burns all 280,000 kg of fuel in 250 s. The engines generate 4.1 MN of thrust. What is this rocket’s speed at the instant all the fuel has been burned if it is launched in deep space? If it is launched vertically from the earth?
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Chapter 11 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - \A 2 kg object is moving to the right with a speed...Ch. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Angie, Brad, and Carlos are discussing a physics...Ch. 11 - Prob. 7CQCh. 11 - Automobiles are designed with “crumple zones”...Ch. 11 - A golf club continues forward after hitting the...Ch. 11 - Suppose a rubber ball collides head-on with a more...
Ch. 11 - Two particles collide, one of which was initially...Ch. 11 - Two ice skaters, Paula and Ricardo, push off from...Ch. 11 - Prob. 13CQCh. 11 - At what speed do a bicycle and its rider, with a...Ch. 11 - What is the magnitude of the momentum of A 3000 kg...Ch. 11 - What impulse does the force shown in FIGURE EX11.3...Ch. 11 - What is the impulse on a 3.0 kg particle that...Ch. 11 - Prob. 5EAPCh. 11 - Prob. 6EAPCh. 11 - Prob. 7EAPCh. 11 - Prob. 8EAPCh. 11 - Prob. 9EAPCh. 11 - A sled slides along a horizontal surface on which...Ch. 11 - Prob. 11EAPCh. 11 - A g air-track glider collides with a spring at one...Ch. 11 - A 250 g ball collides with a wall. FIGURE EX11.13...Ch. 11 - A 5000 kg open train car is rolling on...Ch. 11 - Prob. 15EAPCh. 11 - Prob. 16EAPCh. 11 - Three identical train cars, coupled together, are...Ch. 11 - A 300 g bird flying along at 6.0 m/s sees a 10 g...Ch. 11 - Prob. 19EAPCh. 11 - A 1500 kg car is rolling at 2.0 m/s. You would...Ch. 11 - Prob. 21EAPCh. 11 - A 50 g marble moving at 2.0 m/s strikes a 20 g...Ch. 11 - A proton is traveling to the right at 2.0 × 107...Ch. 11 - Prob. 24EAPCh. 11 - Prob. 25EAPCh. 11 - Prob. 26EAPCh. 11 - Prob. 27EAPCh. 11 - Prob. 28EAPCh. 11 - Prob. 29EAPCh. 11 - Prob. 30EAPCh. 11 - Two particles collide and bounce apart. FIGURE...Ch. 11 - An object at rest explodes into three fragments....Ch. 11 - A 20 g ball of clay traveling east at 3.0 m/s...Ch. 11 - 34. At the center of a 50-m-diameter circular ice...Ch. 11 - A small rocket with 15 kN thrust burns 250 kg of...Ch. 11 - A rocket in deep space has an empty mass of 150 kg...Ch. 11 - A rocket in deep space has an exhaust-gas speed of...Ch. 11 - A tennis player swings her 1000 g racket with a...Ch. 11 - A 60 g tennis ball with an initial speed of 32 m/s...Ch. 11 - A 500 g cart is released from rest 1.00 m from the...Ch. 11 - A 200 g ball is dropped from a height of 2.0 m,...Ch. 11 - The flowers of the bunchberry plant open with...Ch. 11 - A particle of mass in is at rest at t = 0. Its...Ch. 11 - Air-track gliders with masses 300 g, 400 g, and...Ch. 11 - Most geologists believe that the dinosaurs became...Ch. 11 - Squids rely on jet propulsion to move around. A...Ch. 11 - A firecracker in a coconut blows the coconut into...Ch. 11 - One billiard ball is shot east at 2.0 m/s. A...Ch. 11 - a. A bullet of mass m is fired into a block of...Ch. 11 - Prob. 50EAPCh. 11 - An object at rest on a flat, horizontal surface...Ch. 11 - A 1500 kg weather rocket accelerates upward at 10...Ch. 11 - Prob. 53EAPCh. 11 - Two 5 g blocks of wood are 2.0 m apart on a...Ch. 11 - A 100 g granite cube slides down a 40°...Ch. 11 - You have been asked to design a “ballistic spring...Ch. 11 - In FIGUREP11.57, a block of mass m slides along a...Ch. 11 - The stoplight had just changed and a 2000 kg...Ch. 11 - Prob. 59EAPCh. 11 - Force Fx= (10 N) sin (2pt/4.0 s) is exerted on a...Ch. 11 - A 500 g particle has velocity vx=5.0 m/s at t = 2...Ch. 11 - 30 ton rail car and a 90 ton rail car, initially...Ch. 11 - Prob. 63EAPCh. 11 - Prob. 64EAPCh. 11 - Prob. 65EAPCh. 11 - Old naval ships fired 10 kg cannon balls from a...Ch. 11 - A proton (mass 1 u) is shot toward an unknown...Ch. 11 - The nucleus of the polonium isotope 214Po (mass...Ch. 11 - Prob. 69EAPCh. 11 - A 20 g ball of clay traveling east at 2.0 m/s...Ch. 11 - Prob. 71EAPCh. 11 - Prob. 72EAPCh. 11 - Prob. 73EAPCh. 11 - a. To understand why rockets often have multiple...Ch. 11 - Prob. 75EAPCh. 11 - Prob. 76EAPCh. 11 - Prob. 77EAPCh. 11 - In Problems 75 through 78 you are given the...Ch. 11 - A 1000 kg cart is rolling to the right at 5.0 m/s....Ch. 11 - Prob. 80EAPCh. 11 - Prob. 81EAPCh. 11 - A two-stage rocket is traveling at 1200 m/s with...Ch. 11 - 83. The air-track carts in FIGURE P11.83 are...Ch. 11 - Section 11.6 found an equation for vmaxof a rocket...
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Impulse Derivation and Demonstration; Author: Flipping Physics;https://www.youtube.com/watch?v=9rwkTnTOB0s;License: Standard YouTube License, CC-BY