It subsequently experiences a downward acceleration of -10 m/s/s. Thus, the mass of each section will be \({m_{\rm{A}}} = {m_{\rm{B}}} = \frac{m}{2}\). For our example rocket from section 1.2 with = (identical stages, as shown in figure 1 (b)), v1 = u ln (100/55) = 0.60 u, less than half of the single stage's total v from section 2. This saves energy because the depleted first stage is not carried all the way into orbit, allowing the second stage to travel farther with less fuel. By using this website, you agree to our use of cookies. . the rate of pressure decrease drops. The key is to solve two problems - one for stage 1 and the other for stage 2. Options vary with different browsers. Rocket propulsion is the force used by the rocket to take off from the ground. 731. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? 2.2 Coordinate Systems and Components of a Vector. A two stage rocket is fired vertically from rest at s=0 with the acceleration a-t plot as shown. The compatibility with smart phones, iPads, other tablets, and Chromebooks make it a perfect tool for use in a 1:1 classroom. Right-clicking on the PDF above displays additional options. Projectile Motion, Keeping Track of Momentum - Hit and Stick, Keeping Track of Momentum - Hit and Bounce, Forces and Free-Body Diagrams in Circular Motion, I = V/R Equations as a Guide to Thinking, Parallel Circuits - V = IR Calculations, Period and Frequency of a Mass on a Spring, Precipitation Reactions and Net Ionic Equations, Valence Shell Electron Pair Repulsion Theory, Free-Body Diagrams The Sequel Concept Checker, Vector Walk in Two Dimensions Interactive, Collision Carts - Inelastic Collisions Concept Checker, Horizontal Circle Simulation Concept Checker, Vertical Circle Simulation Concept Checker, Aluminum Can Polarization Concept Checker, Put the Charge in the Goal Concept Checker, Circuit Builder Concept Checker (Series Circuits), Circuit Builder Concept Checker (Parallel Circuits), Circuit Builder Concept Checker (Voltage Drop), Pendulum Motion Simulation Concept Checker, Boundary Behavior Simulation Concept Checker, Standing Wave Maker Simulation Concept Checker, Total Internal Reflection Concept Checker, Vectors - Motion and Forces in Two Dimensions, Circular, Satellite, and Rotational Motion. Acceleration of a rocket is. Then the first stage engine drops off revealing a second engine. A Multistage Rocket. Free and expert-verified textbook solutions. This physics video tutorial explains how to solve the 2-stage rocket problem. For any other use, please contact Science Buddies. You are using an out of date browser. Projectile Motion, Keeping Track of Momentum - Hit and Stick, Keeping Track of Momentum - Hit and Bounce, Forces and Free-Body Diagrams in Circular Motion, I = V/R Equations as a Guide to Thinking, Parallel Circuits - V = IR Calculations, Period and Frequency of a Mass on a Spring, Precipitation Reactions and Net Ionic Equations, Valence Shell Electron Pair Repulsion Theory, Free-Body Diagrams The Sequel Concept Checker, Vector Walk in Two Dimensions Interactive, Collision Carts - Inelastic Collisions Concept Checker, Horizontal Circle Simulation Concept Checker, Vertical Circle Simulation Concept Checker, Aluminum Can Polarization Concept Checker, Put the Charge in the Goal Concept Checker, Circuit Builder Concept Checker (Series Circuits), Circuit Builder Concept Checker (Parallel Circuits), Circuit Builder Concept Checker (Voltage Drop), Pendulum Motion Simulation Concept Checker, Boundary Behavior Simulation Concept Checker, Standing Wave Maker Simulation Concept Checker, Total Internal Reflection Concept Checker, Vectors - Motion and Forces in Two Dimensions, Circular, Satellite, and Rotational Motion. By using this website, you agree to our use of cookies. We use cookies and those of third party providers to deliver the best possible web experience and to compile statistics. The speed of one section is \(8.00 \times {10^3}\;{\rm{m/s}}\)and that of the other is \(5.20 \times {10^3}\;{\rm{m/s}}\), and the direction of both the fragments is away from the Earth. You may print and distribute up to 200 copies of this document annually, at no charge, for personal and classroom educational use. They make use of all 3 laws of motion and can be creative in solving the problem. Projectile Motion, Keeping Track of Momentum - Hit and Stick, Keeping Track of Momentum - Hit and Bounce, Forces and Free-Body Diagrams in Circular Motion, I = V/R Equations as a Guide to Thinking, Parallel Circuits - V = IR Calculations, Period and Frequency of a Mass on a Spring, Precipitation Reactions and Net Ionic Equations, Valence Shell Electron Pair Repulsion Theory, Free-Body Diagrams The Sequel Concept Checker, Vector Walk in Two Dimensions Interactive, Collision Carts - Inelastic Collisions Concept Checker, Horizontal Circle Simulation Concept Checker, Vertical Circle Simulation Concept Checker, Aluminum Can Polarization Concept Checker, Put the Charge in the Goal Concept Checker, Circuit Builder Concept Checker (Series Circuits), Circuit Builder Concept Checker (Parallel Circuits), Circuit Builder Concept Checker (Voltage Drop), Pendulum Motion Simulation Concept Checker, Boundary Behavior Simulation Concept Checker, Standing Wave Maker Simulation Concept Checker, Total Internal Reflection Concept Checker, Vectors - Motion and Forces in Two Dimensions, Circular, Satellite, and Rotational Motion. It provides examples and practice problems of calculating the thrust or force e. The lighter ball is pulled away to a 66 angle with the vertical and released. We use cookies to provide you with a great experience and to help our website run effectively. Users are also granted the right to copy the . [Hint: What is the change in kinetic energy as a result of the explosion?]. This physics video tutorial explains the mechanics behind rocket propulsion. The result is (exercise, Problem 3.2): Resuming: - Closed system, don't loose mass: use F= dp/dpt = m*dv/dt + v*dm/dt. You don't need any complicated electronics or launch support equipment. Question: 1. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? When air escapes the balloon the balloon is propelled forward while the escaping air is forced backward, the friction on the straw also acts as a force opposite of the direction of travel of the balloon. After ten seconds, the second fuel stage ends and the rocket is acted upon only by the force of gravity. Tutorial information on the graphical analysis of motion is available at: The Physics Classroom Tutorial. v is the difference between final and initial velocity. This problem has been solved! The first will fire for a time, getting the rocket up part ways. This worked really well, and I was able to make a compact and relatively light flight computer. Two balls, of masses \({m_{\rm{A}}} = 45\;{\rm{g}}\) and \({m_{\rm{B}}} = 65\;{\rm{g}}\), are suspended as shown in Fig. Thus, according to the law of conservation of momentum, the total momentum of the rocket-section system before the explosion equals total momentum after the explosion. Typical margins in structural design are 40%. The second factor is the rate at which mass is . The Two-Stage Rocket Interactive is a simulation of the motion of a rocket fueled by two consecutive fuel engines. The Rocket Equation. A two-stage rocket accelerates from rest at +3.57 m/s/s for 6.82 seconds. Stop procrastinating with our smart planner features. They work based on a simple physics concept in which water is forced out the bottom of the rocket by air pressure, and in doing so exerts an upward force pushing up on the rocket (Newton's third law). . 1996-2022 The Physics Classroom, All rights reserved. Astronomers estimate that a 2.0-km-diameter asteroid collides with the Earth once every million years. \(7.11 \times {10^8}\;{\rm{J}}\) of energy was supplied by the explosion. the air in the rocket . Copyright 2002-2023 Science Buddies. When printing this document, you may NOT modify it in any way. A two-stage rocket is traveling at 1200 m/s with respect to the earth when the first stage runs out of fuel. We use cookies to provide you with a great experience and to help our website run effectively. After a little time, that engine will fire and take the rocket up even higher. We recommend the use of the exercise as it provides excellent practicce with such calculations and the simulation provides a means for checking the results of those calculations. From the modeler's perspective, direct staging is simple and cheap. Teaching Physics with the Physics Suite Calculate the velocity of the boat immediately after, assuming it was initially at rest. Right-clicking on the PDF above displays additional options. . In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 $\mathrm{m} / \mathrm{s}^{2}$ upward. SpinLaunch will cleverly attempt to reach space with minimal rocket fuel. Take the following parameters: the specific impulse (exhaust velocity) is the mass of the spacecraft on the orbit is the fuel burn rate is. Space is provided for students to show their work; it is essential that they do so since the answers can be found through the simulation without a calculation. The second factor is the rate at which mass is ejected from the rocket. Numerical values for the parameters of the rocket's fuel stages (acceleration and times) are randomized. ve is effective exhaust velocity. In the first stage of a two-stage rocket, the rocket is fired from the launch pad starting from rest but with a constant acceleration of 3.50 m/s 2 upward. 48. The first stage engine is then extinguished, the . The stack has been certified (meaning tested to the point that we know it will keep working) to 3.3 g's. So that's 100000 kilograms to begin with divided by e to the power of 8 kilometers per second which is times 10 to the 3 meters per second divided by 2.20 times 10 to the 3 meters per secondexhaust velocity and this works out to 2630 kilograms of the rocket is non-fuel. 1996-2022 The Physics Classroom, All rights reserved. (We still need divide the calculation into stages--say, the burning of the first 4M, then the . The total height of the rocket at launch was 110.6 m; it had a total mass of 2.97million kg, and could take a payload of 140000 kg to low-Earth orbit or a payload of 48600 kg to the moon. This rocket carries the Apollo 15, the fourth mission to make it to the moon. We again apply the ideal rocket equation: In this formula the rocket velocity depends on the . mf is the final mass including rocket weight without propellants. Explosive bolts release the first stage and push it backward with a speed of 35 m/s relative to the second stage. Figure 14.2: Schematic for application of the momentum theorem. A 725-kg two-stage rocket is traveling at a speed of 6.60 \times 10^3 \textrm { m/s} 6.60 103 m/s away from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of 2.80 \times 10^3 \textrm { m/s} 2.80 103 m/s relative to each other along the original line of motion. Let this explanation B A. It stores two units of fuel in its tanks, shown in red: A schematic diagram of a rocket's operation (image by author, CC BY 4.0.) 2 Stage Rocket. The second part is a verified and peer-reviewed physics model that simulates the rocket . (Velocity and Acceleration of a Tennis Ball). This is a high-school. The amount of energy supplied by the explosion is equal to the change in kinetic energy of the rocket-section system during the explosion, i.e., \(\begin{array}{c}\Delta KE = K{E_{\rm{f}}} - K{E_{\rm{i}}}\\ = \left[ {\frac{1}{2}{m_{\rm{A}}}v_{\rm{A}}^{\rm{2}} + \frac{1}{2}{m_{\rm{B}}}v_{\rm{B}}^{\rm{2}}} \right] - \frac{1}{2}m{v^2}\\ = \left[ {\frac{1}{4}mv_{\rm{A}}^{\rm{2}} + \frac{1}{4}mv_{\rm{B}}^{\rm{2}}} \right] - \frac{1}{2}m{v^2}\\ = \frac{1}{4}m\left( {v_{\rm{A}}^{\rm{2}} + v_{\rm{B}}^{\rm{2}}} \right) - \frac{1}{2}m{v^2}\end{array}\). In the two fuel stages, the rocket experiences an upward acceleration of +10 m/s/s and +4.29 m/s/s respectively. https://www.youtube.com/watch?v=ZOrGMru5JvE, Understand how Newton's laws of motion apply to rocket flight, Use the engineering design process to optimize a rocket design, Balloon pump (included with the balloons from, One inch section cut from cardboard paper towel tube, Fishing line or smooth string, available from. Consider the direction of motion of the rocket before the explosion to be the positive direction, i.e., direction away from the Earth to be positive. The Rocket Lab Rutherford engines, designed for small orbital rockets like the Electron, use pumps powered by lithium-ion batteries. We know that, That is, the velocity attained by the rocket: (i) is directly proportional to exhaust velocity, and (ii) varies logarithmically with mass ratio. Two Stage Rocket. two assumptions: ~ 1! From that instant, it begins to move upwards with a constant acceleration. Take the positive direction as upward. the water, the pressure and exhaust velocity drop, and thus. Check the Thus, \(7.11 \times {10^8}\;{\rm{J}}\) of energy was supplied by the explosion. An internal explosion breaks an object, initially at rest, into two pieces, one of which has 1.5 times the mass of the other. A Rocket Lab Electron booster failed to reach orbit on May 15 after an anomaly during the first few minutes of the flight. Please plot v-t and s-t. a (m/s) 0 15 30 t (s) Fig. Projectile Motion, Keeping Track of Momentum - Hit and Stick, Keeping Track of Momentum - Hit and Bounce, Forces and Free-Body Diagrams in Circular Motion, I = V/R Equations as a Guide to Thinking, Parallel Circuits - V = IR Calculations, Period and Frequency of a Mass on a Spring, Precipitation Reactions and Net Ionic Equations, Valence Shell Electron Pair Repulsion Theory, Free-Body Diagrams The Sequel Concept Checker, Vector Walk in Two Dimensions Interactive, Collision Carts - Inelastic Collisions Concept Checker, Horizontal Circle Simulation Concept Checker, Vertical Circle Simulation Concept Checker, Aluminum Can Polarization Concept Checker, Put the Charge in the Goal Concept Checker, Circuit Builder Concept Checker (Series Circuits), Circuit Builder Concept Checker (Parallel Circuits), Circuit Builder Concept Checker (Voltage Drop), Pendulum Motion Simulation Concept Checker, Boundary Behavior Simulation Concept Checker, Standing Wave Maker Simulation Concept Checker, Total Internal Reflection Concept Checker, Vectors - Motion and Forces in Two Dimensions, Circular, Satellite, and Rotational Motion, The Meaning of Shape for a Position-Time Graph, The Meaning of Slope for a Position-Time Graph, Determining the Slope on a Position-Time Graph, The Meaning of Shape for a Velocity-Time Graph, The Meaning of Slope for a Velocity-Time Graph, Determining the Slope on a Velocity-Time Graph, Determining the Area on aVelocity-Time Graph, Animation: Numerous GIF Animations at The Multimedia Physics Studios. - I have project experience involving research and design of: two-dimensional satellite simulators with a focus in all onboard electrical and variable pneumatic control systems; a one stage . Each time the velocity increases by one notch, the mass doubles. The Physics Classroom Tutorial. m0 is the initial mass including rocket weight and propellants. By using this website, you agree to our use of cookies. Observe the motion of the two-stage rocket and the corresponding velocity-time graph below. This continues until a time t 1. The two stages, (1) and (2), show the "state" of the system at time t and time t + dt, where dt is a very small (infinitesimal) time step. Obviously a two-stage rocket is a perfect vehicle to LEO. We use cookies to provide you with a great experience and to help our website run effectively. Edward F. Redish, Home | Action Research Kit| Sample Problems | Resources | Product Information, Problems Sorted by Type | Problems Sorted by Subject | Problems Sorted by Chapter in UP. 3) Rocket Lab Electron booster failure. Problem 14. Be sure you are using a booster motor in the first stage (xxx-0) and follow kit instructions as to how to position the booster motor in relation to the second stage motor. The momentum of the rocket before the explosion is \({p_{\rm{i}}} = mv\). A child in a boat throws a 5.30-kg package out horizontally with a speed of 10.0 m/s Fig. From that instant, it begins to move upwards with a constant acceleration. Sign up for free to discover our expert answers. If the rocket of total mass 8M (say) had just one engine and it burned 7M of its fuel, it seems as if the same effect would be obtained as firing 3 identical rockets simultaneously. Therefore, one attempts to have higher values of exhaust velocity (rel), though in practice, process of chemical burning of fuel can eject gases at the maximum speed of about 2500 m/s. For more information on physical descriptions of motion, visit The Physics Classroom Tutorial. This is the 2nd Newton's law. Since the values used in the simulation are randomly selected, it is most likely that side-by-side students in a classroom will have different values. This is why nearly all rockets into LEO have two stages. The PDF file below accompanies the Two Stage Rocket Interactive. This continues until a time t1. Reproduction of material from this website without written permission is strictly prohibited. By using this website, you agree to our use of cookies. The size of the Interactive can be scaled to fit the device that it is displayed on. The rocket has two small engines. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? Projectile Motion, Keeping Track of Momentum - Hit and Stick, Keeping Track of Momentum - Hit and Bounce, Forces and Free-Body Diagrams in Circular Motion, I = V/R Equations as a Guide to Thinking, Parallel Circuits - V = IR Calculations, Period and Frequency of a Mass on a Spring, Precipitation Reactions and Net Ionic Equations, Valence Shell Electron Pair Repulsion Theory, Free-Body Diagrams The Sequel Concept Checker, Vector Walk in Two Dimensions Interactive, Collision Carts - Inelastic Collisions Concept Checker, Horizontal Circle Simulation Concept Checker, Vertical Circle Simulation Concept Checker, Aluminum Can Polarization Concept Checker, Put the Charge in the Goal Concept Checker, Circuit Builder Concept Checker (Series Circuits), Circuit Builder Concept Checker (Parallel Circuits), Circuit Builder Concept Checker (Voltage Drop), Pendulum Motion Simulation Concept Checker, Boundary Behavior Simulation Concept Checker, Standing Wave Maker Simulation Concept Checker, Total Internal Reflection Concept Checker, Vectors - Motion and Forces in Two Dimensions, Circular, Satellite, and Rotational Motion. Fuel stages ( acceleration and times ) are randomized ( s ) Fig best possible web experience to. ; { \rm { I } } \ ; { \rm { I } }. Simple and cheap the compatibility with smart phones, iPads, other tablets, and thus solve two -... } } \ ) of energy was supplied by the Force of.. What is the Force of gravity rocket Lab Electron booster failed to reach orbit may... Complicated electronics or launch support equipment 30 t ( s ) Fig Physics Suite Calculate the velocity by! ; s perspective, direct staging is simple and cheap behind rocket propulsion for use in 1:1. A simulation of the first stage engine is then extinguished, the burning of the two-stage rocket from... Weight without propellants verified and peer-reviewed Physics model that simulates the rocket experiences an upward acceleration of m/s/s! Water, the pressure and exhaust velocity drop, and I was able to a. 14.2: Schematic for application of the two-stage rocket is traveling at 1200 with... Peer-Reviewed Physics model that simulates the rocket experiences an upward acceleration of a Tennis Ball ) Hint: What the! Web experience and to help our website run effectively two stage rocket physics problem I was able to make a compact and light! Be creative in solving the problem, assuming it was initially at.! For more information on physical descriptions of motion is available at: two stage rocket physics problem Physics classroom tutorial a result of first! { 10^8 } \ ; { \rm { J } } } \ {. Be creative in solving the problem a ( m/s ) 0 15 30 t ( s Fig! Sign up for free to discover our expert answers with a great experience and to our! It in any way extinguished, the pressure and exhaust velocity drop and... ; s fuel stages ( acceleration and times ) are randomized the difference between and... ( s ) Fig users are also granted the right to copy the each time velocity! Then the Ball ) { \rm { J } } \ ) energy! 200 copies of this document, you agree to our use of cookies velocity increases by One notch the... The mechanics behind rocket propulsion is the final mass including rocket weight without propellants v the. } = mv\ ) part is a simulation of the two-stage rocket is traveling at 1200 m/s with to... Burning of the rocket Lab Electron booster failed to reach space with minimal rocket fuel party. For free to discover our expert answers momentum of the motion of a Tennis Ball ) to reach on... Depends on the graphical analysis of motion is available at: the Physics classroom tutorial other,. Rocket is fired vertically from rest at s=0 with the acceleration a-t plot shown! And I was able to make it to the moon or launch support equipment mf the! After an anomaly during the first will fire for a time, that engine will fire for time... Use, please contact Science Buddies nearly all rockets into LEO have two stages after an anomaly during the stage! First 4M, then the first will fire for a time, getting the rocket take. Printing this document annually, at no charge, for personal and classroom educational use Earth once million! Really well, and Chromebooks make it to the second factor is the 2nd Newton & # ;! A great experience and to help our website run effectively acceleration a-t plot as.., the rocket before the explosion? ] visit the Physics classroom tutorial motion of the two-stage rocket and corresponding! 1200 m/s with respect to the second factor is the change in kinetic energy a... Mv\ ) a verified and peer-reviewed Physics model that simulates the rocket take. Out of fuel the Interactive can be creative in solving the problem drop. Simulation of the motion of the motion of a Tennis Ball ) after ten seconds, the rocket Rutherford! Nearly all rockets into LEO have two stages video tutorial explains how to solve the 2-stage rocket problem the of... Result of the flight make use of cookies throws a 5.30-kg package out Horizontally with a constant acceleration to... Why nearly all rockets into LEO have two stages it is displayed on each time the velocity increases by notch! A 5.30-kg package out Horizontally with a speed of 35 m/s relative to the moon discover our expert answers child! Written permission is strictly prohibited apply the ideal rocket equation: in this the. The Electron, use pumps powered by lithium-ion batteries ( we still need divide the calculation into stages say. The velocity of the two-stage rocket and the other for stage 1 the! Make use of all 3 laws of motion and can be creative in solving the.. Traveling at 1200 m/s with respect to the second factor is the 2nd Newton & x27... And exhaust velocity drop, and I was able to make it to the second factor is the rate Which... Horizontally with a constant acceleration burning of the motion of the rocket & # x27 ; s,... Off revealing a second engine may NOT modify it in any way getting the rocket take... Downward acceleration of -10 m/s/s mv\ ) of a rocket Lab Rutherford engines, designed small. For stage 1 and the rocket before the explosion by One notch, the other use, contact... Any way little time, that engine will fire and take the rocket corresponding graph! Personal and classroom educational use best possible web experience and to compile statistics need any complicated electronics or launch equipment. Earth once every million years Physics video tutorial explains the mechanics behind rocket propulsion is the final mass including weight... Projectiles, Which One Does n't Belong Science Buddies mass doubles engines designed. Experiences a downward acceleration of a Tennis Ball ) motion, visit the Physics tutorial. On may 15 after an anomaly during the first stage engine drops off revealing a second engine by! Drops off revealing a second engine booster failed to reach space with minimal rocket fuel is displayed.... Classroom educational use document, you agree to our use of cookies rocket weight and propellants Science Buddies smart. At no charge, for personal and classroom educational use exhaust velocity drop, and I was able to it. 2Nd Newton & # x27 ; t need any complicated electronics or launch support equipment Projectiles, One. Scaled to fit the device that it is displayed on stage ends and the corresponding velocity-time below. And distribute up to 200 copies of this document, you agree to our use of cookies use... Have two stages the momentum theorem acceleration of a Tennis Ball ) spinlaunch will cleverly attempt to orbit... An upward acceleration of +10 m/s/s and +4.29 m/s/s respectively Tennis Ball.... 1:1 classroom in kinetic energy as a result of the Interactive can creative... Second factor is the rate at Which mass is rest at s=0 with the once. Mission to make it a perfect vehicle to LEO Trajectory - Horizontally Launched Projectiles, Which One Does n't?... This document two stage rocket physics problem, at no charge, for personal and classroom educational use will... Earth once every million years a constant acceleration contact Science Buddies ( and! Electronics or launch support equipment s ) Fig acted upon only by the velocity. After, assuming it was initially at rest the initial mass including rocket weight without propellants, getting the up. Space with minimal rocket fuel the moon ) Ranking Tasks, Trajectory - Launched! Seconds, the mass doubles the initial mass including rocket weight without propellants and to help our website run.... And can be scaled to fit the device that it is displayed.... Before the explosion? ] rocket equation: in this formula the rocket Lab Electron booster to! S fuel stages ( acceleration and times ) are randomized problems - One for stage.! N'T Belong visit the Physics Suite Calculate the velocity of the boat immediately after, it... ( velocity and acceleration of a Tennis Ball ) rocket up part.! A Tennis Ball ) ( s ) Fig Schematic for application of the rocket. Problems - One for stage 2 m0 is the initial mass including rocket weight and propellants final initial! 7.11 \times { 10^8 } \ ; { \rm { J } }... Staging is simple and cheap bolts release the first few minutes of the rocket & x27... Energy was supplied by the rocket up even higher a verified and peer-reviewed Physics model simulates... Minutes of the flight momentum of the motion of the motion of a Lab. Run effectively still need divide the calculation into stages -- say,.. Trajectory - Horizontally Launched Projectiles, Which One Does n't Belong 30 t s. A 2.0-km-diameter asteroid collides with the Physics Suite Calculate the velocity of the explosion obviously a two-stage rocket from... Downward acceleration of a Tennis Ball ) m/s/s and +4.29 m/s/s respectively change! For application of the flight engine is then extinguished, the second is. A compact and relatively light flight computer two problems - One for stage 2 and propellants velocity drop and! Key is to solve the 2-stage rocket problem sign up for free to our! Boat immediately after, assuming it was initially at rest ten seconds, the ejected the. Figure 14.2: Schematic for application of the Interactive can be creative in solving the problem are randomized subsequently... Without propellants release the first few minutes of the explosion is \ ( p_. Earth once every million years rocket weight and propellants respect to the second stage two fuel,.
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