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EXERCISES  AND PROBLEMS ssm Solution is in the Student Solutions Manual. ~ Solution is available on the World Wide Web at: http://www.wiley.com/college/hrw Itw Solution is available on the Interactive Leaming Ware. 1a) How far is the center of mass of the Earth-Moon system from the center of Earth? (Appendix C gives the masses of Earth and the […]

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REVIEW  AND SUMMARY Center of Mass The center of mass of a system of n particles is defined to be the point whose coordinates are given by       Linear Momentum and Newton’s Second Law For a single particle, we define a quantity p called its linear momentum as Conservation of Linear Momentum If a system […]

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External Forces and Internal Energy Changes As the ice skater in pushes herself away from a railing, there is a force ii on her from the railing at angle 4> to the horizontal. This force accelerates her, increasing her speed until she leaves the railing . Thus, her kinetic energy is increased via the force. This example differs in […]

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Sample Problem A rocket whose initial mass Mi is 850 kg consumes fuel at the rate R = 2.3 kg/so The speed of the exhaust gases relative to the rocket engine is 2800 mls. (a) What thrust does the rocket engine provide     b) What is the initial acceleration of the rocket? SOLUTION: e can relate […]

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Finding the Velocity How will the velocity of a rocket change as it consumes its fuel? we have           for the increase in the speed of’.the rocket during the change in mass from M, to Mf. (The symbol in means the natural logarithm.) We see here the advantage of multistage rockets, in which Mf […]

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Finding the Acceleration Assume that we are at rest relative to an inertial reference frame. watching a rocket accelerate through deep space with no gravitational or atmospheric drag forces acting on it. For this one-dimensional motion, let M be the mass of the rocket and v its velocity at an arbitrary time.depends only on design characteristics of […]

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Systems with Varying Mass: A Rocket In the systems we have dealt with so far, we have assumed that the total mass of the system remains constant. Sometimes. as in a rocket it does not. Most of the mass of a rocket on its launching pad is fuel. all of which will eventually be burned and ejected from […]

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PROBLEM-SOLVING TACTICS Tactic 2: Conservation of Linear Momentum For problems involving the conservation of linear momentum, first make sure that you have chosen a closed. isolated system. Closed means that no matter (no particles) passes through the system boundary in any direction. Isolated means that the net external  acting on the system is zero. Next. select two appropriate […]

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Sample Problem A firecracker placed inside a coconut of mass M. initially at rest on a friction less floor. blows the coconut into three pieces that slide across the floor. An overhead view is shown in Fig. 9-1Oa. Piece C. with mass O.30M. has final speed tc = 5.0 m  (a) What is the speed of piece 8. […]

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Sample Problem Shows a space hauler and cargo module. of total mass M traveling along an x axis in deep space. They have an initial velocity VI of magnitude 2100 km/h relative to the Sun. With a small explosion. the hauler ejects the cargo module. of mass . The hauler then travels 500 km/h faster than the module along […]