17th Edition

ISBN: 9780137319497

Author: Knight

Publisher: PEARSON

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Chapter 11, Problem 84EAP

Section 11.6 found an equation for v_m_a_xof a rocket fired in deep space. What is v_m_a_xfor 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 ?P_ythe change of momentum in the vertical direction, in terms of dm and dv_y. ?P_yis 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 d_v_y. Then integrate to find a modified expression for v_m_a_x, at the instant all the fuel has been burned.

a. What is v_m_a_xfor a vertical launch from an airless planet? Your answer will be in terms of m_R, the empty rocket mass: m_F₀, the initial fuel mass; v_e_x, 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, Problem 83EAP

Chapter 12, Problem 1CQ

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Chapter 11 Solutions

PHY F/SCIENTIST MOD MASTERING 24 MO

Ch. 11 - Prob. 1CQ Ch. 11 - Prob. 2CQ Ch. 11 - \A 2 kg object is moving to the right with a speed...Ch. 11 - Prob. 4CQ Ch. 11 - Prob. 5CQ Ch. 11 - Angie, Brad, and Carlos are discussing a physics...Ch. 11 - Prob. 7CQ Ch. 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. 13CQ Ch. 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. 5EAP Ch. 11 - Prob. 6EAP Ch. 11 - Prob. 7EAP Ch. 11 - Prob. 8EAP Ch. 11 - Prob. 9EAP Ch. 11 - A sled slides along a horizontal surface on which...Ch. 11 - Prob. 11EAP Ch. 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. 15EAP Ch. 11 - Prob. 16EAP Ch. 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. 19EAP Ch. 11 - A 1500 kg car is rolling at 2.0 m/s. You would...Ch. 11 - Prob. 21EAP Ch. 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. 24EAP Ch. 11 - Prob. 25EAP Ch. 11 - Prob. 26EAP Ch. 11 - Prob. 27EAP Ch. 11 - Prob. 28EAP Ch. 11 - Prob. 29EAP Ch. 11 - Prob. 30EAP Ch. 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. 50EAP Ch. 11 - An object at rest on a flat, horizontal surface...Ch. 11 - A 1500 kg weather rocket accelerates upward at 10...Ch. 11 - Prob. 53EAP Ch. 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. 59EAP Ch. 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. 63EAP Ch. 11 - Prob. 64EAP Ch. 11 - Prob. 65EAP Ch. 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. 69EAP Ch. 11 - A 20 g ball of clay traveling east at 2.0 m/s...Ch. 11 - Prob. 71EAP Ch. 11 - Prob. 72EAP Ch. 11 - Prob. 73EAP Ch. 11 - a. To understand why rockets often have multiple...Ch. 11 - Prob. 75EAP Ch. 11 - Prob. 76EAP Ch. 11 - Prob. 77EAP Ch. 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. 80EAP Ch. 11 - Prob. 81EAP Ch. 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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