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The situation at time t + dt: Draw a simple sketch of a rocket of mass m + dm moving vertically up with velocity v + du relative to the ground. Note, dm < 0, negative for loss of mass. Show the ejected fuel mass -dm moving at Vex relative to the rocket down. Finally, show the gravitational and air drag forces acting on the system. These are external forces. . What is the equation for the momentum of the rocket, with reduced mass, at t+dt? Note, since we are working with differentials like dm and du, the product of two differentials can be considered to be very small and thus dropped from any expression. . We want to determine the momentum of the ejected gas relative to the fixed frame. Hence we need to determine the velocity of the ejected gas relative to the fixed frame. Let Vex be the gas' velocity relative to the fixed frame, this needs to be expressed as a function of Ver. Once you have Ver, write down the equation for the momentum of the ejected fuel. • The total momentum of the system P(t+dt) is the sum of the rocket's momentum and the momentum of the ejected fuel. What is P(t + dt)?

The situation at time t + dt: Draw a simple sketch of a rocket of mass m + dm moving vertically up with velocity v + du relative to the ground. Note, dm < 0, negative for loss of mass. Show the ejected fuel mass -dm moving at Vex relative to the rocket down. Finally, show the gravitational and air drag forces acting on the system. These are external forces. . What is the equation for the momentum of the rocket, with reduced mass, at t+dt? Note, since we are working with differentials like dm and du, the product of two differentials can be considered to be very small and thus dropped from any expression. . We want to determine the momentum of the ejected gas relative to the fixed frame. Hence we need to determine the velocity of the ejected gas relative to the fixed frame. Let Vex be the gas' velocity relative to the fixed frame, this needs to be expressed as a function of Ver. Once you have Ver, write down the equation for the momentum of the ejected fuel. • The total momentum of the system P(t+dt) is the sum of the rocket's momentum and the momentum of the ejected fuel. What is P(t + dt)?

Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 91A
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2. The situation at time t + dt: Draw a simple sketch of a rocket of mass m + dm moving vertically up with velocity v + du relative to the ground. Note, dm < 0, negative for loss of mass. Show the ejected fuel mass -dm moving at ver relative to the rocket down. Finally, show the gravitational and air drag forces acting on the system. These are external forces. • What is the equation for the momentum of the rocket, with reduced mass, at t+dt? Note, since we are working with differentials like dm and du, the product of two differentials can be considered to be very small and thus dropped from any expression. • We want to determine the momentum of the ejected gas relative to the fixed frame. Hence we need to determine the velocity of the ejected gas relative to the fixed frame. Let Ver be the gas' velocity relative to the fixed frame, this needs to be expressed as a function of Ver. Once you have Ver, write down the equation for the momentum of the ejected fuel. • The total momentum of the system P(t + dt) is the sum of the rocket's momentum and the momentum of the ejected fuel. What is P(t + dt)?
Transcribed Image Text:2. The situation at time t + dt: Draw a simple sketch of a rocket of mass m + dm moving vertically up with velocity v + du relative to the ground. Note, dm < 0, negative for loss of mass. Show the ejected fuel mass -dm moving at ver relative to the rocket down. Finally, show the gravitational and air drag forces acting on the system. These are external forces. • What is the equation for the momentum of the rocket, with reduced mass, at t+dt? Note, since we are working with differentials like dm and du, the product of two differentials can be considered to be very small and thus dropped from any expression. • We want to determine the momentum of the ejected gas relative to the fixed frame. Hence we need to determine the velocity of the ejected gas relative to the fixed frame. Let Ver be the gas' velocity relative to the fixed frame, this needs to be expressed as a function of Ver. Once you have Ver, write down the equation for the momentum of the ejected fuel. • The total momentum of the system P(t + dt) is the sum of the rocket's momentum and the momentum of the ejected fuel. What is P(t + dt)?
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