two stage rocket physics problem

. First, the greater the exhaust velocity of the gases relative to the rocket, v e, the greater the acceleration is.The practical limit for v e is about 2.5 10 3 m/s for conventional (non-nuclear) hot-gas propulsion systems. 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. In a two-stage rocket launch, the first stage lifts the rocket through the initial phase of its flight. Options vary with different browsers. The Physics Classroom Tutorial. The key is to solve two problems - one for stage 1 and the other for stage 2. 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Typical margins in structural design are 40%. 48. Now, substitute the value of \({v_{\rm{A}}}\)in equation (i) to get the value of \({v_{\rm{B}}}\): \(\begin{array}{c}{v_B} = {v_{\rm{A}}} - {v_{{\rm{AB}}}}\\ = \left( {8.00 \times {{10}^3}\;{\rm{m/s}}} \right) - \left( {2.80 \times {{10}^3}\;{\rm{m/s}}} \right)\\ = 5.20 \times {10^3}\;{\rm{m/s}}\end{array}\). You work from a blank sheet of paper. the air in the rocket . In terms of relative velocity, the velocity of section B can be written as follows: \(\begin{array}{c}{v_{{\rm{AB}}}} = {v_{\rm{A}}} - {v_{\rm{B}}}\\{v_B} = {v_{\rm{A}}} - {v_{{\rm{AB}}}}\\\;\end{array}\) (i). Check the a = v e m m t g, 8.78. where a is the acceleration of the rocket, v e is the exhaust velocity, m is the mass of the rocket, m is the mass of the ejected gas, and t is the time in which the gas is ejected. A two-stage-to-orbit (TSTO) or two-stage rocket launch vehicle is a spacecraft in which two distinct stages provide propulsion consecutively in order to achieve orbital velocity. h'=v are for the center mass of the expulsed propellant and the remain rocket. SpinLaunch will cleverly attempt to reach space with minimal rocket fuel. Reams of paper, really. Friction between the string and the straw acts opposite the direction of motion. The equation is given as: v = v e l n m 0 m f = I s p g 0 l n m 0 m f. Where, v: maximum change of velocity of the vehicle. More powerful engines like the Merlin, RS-25, or F-1 engines use more complex combustion cycles that siphon off some of the combustion's energy to power the pumps. Instructors are permitted to make and distribute copies for their classes. A rocket in its simplest form is a chamber enclosing a gas under pressure. mf is the final mass including rocket weight without propellants. A rocket generates thrust using a controlled explosion as the fuel and . The point of the exercise is to practice the calculation and be able to check the answer with the simulation. Explosive bolts release the first stage and push it backward with a speed of 35 m/s relative to the second stage. The stack has been certified (meaning tested to the point that we know it will keep working) to 3.3 g's. Unit 2 Physics Rocket Problem Review (Free Fall) turdfurg67 6.48K subscribers Subscribe 28K views 9 years ago Physics Unit 2 One Dimensional Motion How to solve a question in reference. There are two types of rocket staging, serial and parallel. The rocket has two small engines. This is a high-school. This rocket carries the Apollo 15, the fourth mission to make it to the moon. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? (a) What is the velocity of the lighter ball before impact? The rocket starts firing its engines at a time t = 0. But will physics prevent a full-scale version from succeeding? Step Five: Whittle Down the Possibilities. At a hydroelectric power plant, water is directed at high speed against turbine blades on an axle that turns an electric generator. 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. The second stage is lit by the blowthough of the first stage into the nozzle of the second. Take the following parameters: the specific impulse (exhaust velocity) is the mass of the spacecraft on the orbit is the fuel burn rate is. Resuming: - Closed system, don't loose mass: use F= dp/dpt = m*dv/dt + v*dm/dt. This lesson expands on the traditional activity by adding a second stage to the balloon rocket, modeled after how real rocket launches work (Figure 2). 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. You may print and distribute up to 200 copies of this document annually, at no charge, for personal and classroom educational use. Students construct a "rocket" that will travel 4.0 m and then RETURN without intervention. This two stage rocket lab is based on a Conceptual Physics Lab by Paul Hewitt. If 5500 J is released in the explosion, how much kinetic energy does each piece acquire? During the second stage, the rocket accelerates upward more slowly, gaining speed until it runs out of fuel. In direct staging, the lower "booster" stage motor ignites the top motor in the rocket. Angie, Brad, and Carlos are discussing a physics problem in which two identical bullets are fired with equal speeds at . It is based on Newton's third law of motion principle. Visit their website (. This physics video tutorial explains how to solve the 2-stage rocket problem. A rocket's acceleration depends on three major factors, consistent with the equation for acceleration of a rocket. 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. The collision could pose a threat to life on Earth. The Two Stage Rocket Interactive is an adjustable-size file that displays nicely on smart phones, on tablets such as the iPad, on Chromebooks, and on laptops and desktops. According to Newton's third law of motion (for every action there is an equal and opposite reaction), this means the balloon is pushed forward along the string. Please plot v-t and s-t. a (m/s) 0 15 30 t (s) Fig. Thus, \(7.11 \times {10^8}\;{\rm{J}}\) of energy was supplied by the explosion. The Physics Classroom grants teachers and other users the right to print this PDF document and to download this PDF document for private use. Cutting out the first stage of a rocket launch in an . It takes an enormous amount of energy (and therefore, fuel and money) to send a payload into space. Reproduction of material from this website without written permission is strictly prohibited. A 725-kg two-stage rocket is traveling at a speed of \({\bf{6}}{\bf{.60 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{m/s}}\) away from Earth when a predesigned explosion separates the rocket into two sections of equal mass that then move with a speed of \({\bf{2}}{\bf{.80 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{m/s}}\)relative to each other along the original line of motion. Not only should we resist its strange appeal, it's time to find another way, writes Philip Ball. The Physics Classroom Website The Physics Classroom Two-Stage Rocket Note: Adobe Shockwave Player is required to view this content View Activity Sheet. Specific information is available there on the following topics: 1996-2022 The Physics Classroom, All rights reserved. Let this explanation B A. 19.2 Rocket Problem 2 - Momentum Diagrams - YouTube 0:00 / 5:00 19.2 Rocket Problem 2 - Momentum Diagrams 18,518 views Jun 2, 2017 MIT 8.01 Classical Mechanics, Fall 2016. Take the positive direction as upward. The Physics Classroom has prepared an activity that steps students through both a conceptual and mathematical analysis of the motion. Observe the motion of the two-stage rocket and the corresponding velocity-time graph below. From the modeler's perspective, direct staging is simple and cheap. You don't need any complicated electronics or launch support equipment. The system (consisting of rocket and exhaust) is shown as inside the dashed line. Options vary with different browsers. the rate of pressure decrease drops. By using this website, you agree to our use of cookies. It takes an enormous amount of energy (and therefore, fuel and money) to send a payload into space. Since the magnitude of both \({v_{\rm{A}}}\) and \({v_{\rm{B}}}\) is positive, the direction of both the fragments is away from the Earth. Two-stage rocket problem 22,392 views Dec 6, 2015 223 Dislike Share Physics Ninja 32.3K subscribers I solve the 2-stage rocket problem using basic kinematic equations. 3) Rocket Lab Electron booster failure. (b) How much energy was supplied by the explosion? 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. If a rocket explodes into two sections, A and B, with velocities \({v_{\rm{A}}}\) and \({v_{\rm{B}}}\), respectively, relative to the Earth, their speed relative to each other is \({v_{{\rm{AB}}}} = 2.80 \times {10^3}\;{\rm{m/s}}\). B, which is 20 meters per second, squared for time T 15 to 40 right and after Stage A. A 725-kg two-stage rocket is traveling at a speed of 6 .60 1 0 3 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 1 0 3 m / s relative to each other along the original line of motion. Therefore, "helping each other out" extends beyond "giving away the answer" to "teaching how to get the answer" - a valuable classroom trait that we all hope to nurture. Two Earth-observing satellites . Estimate the acceleration of a rocket at the moment when the spacecraft reaches the orbit. The rocket equation ( 1) gives the speed change as. Liquid fuel, solid fuel, cold gas and ion are the types of rocket propulsion. 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Obviously a two-stage rocket is a perfect vehicle to LEO. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? The three rocket stages are separated by rings around the engine of the next stage. . From that instant, it begins to move upwards with a constant acceleration. 1 Chapter Review. (a) Assume a spherical asteroid has a mass of 3200 kg for each cubic meter of volume and moves toward the Earth at \(15\;{\rm{km/s}}\). The goal is to make the connection between the motion and the graphical descriptions of the motion. Thus, the mass of each section will be \({m_{\rm{A}}} = {m_{\rm{B}}} = \frac{m}{2}\). Materials needed for a balloon rocket include: multiple balloons, an air pump, scissors, straws, fishing line, tape, a cardboard tube, and binder clips. During the first part of the problem, the observed acceleration of the rocket was 27 m/s 2 and the rocket accelerated from zero to 86 m/s while traveling a distance of 140 m. Knowing these values at Point 2 allowed you to then learn about Point 3, with the understanding that the observed acceleration of the rocket between Points 2 and 3 was -9. . The key is to solve two problems - one for stage 1 and the other for stage 2. You can find this page online at: https://www.sciencebuddies.org/teacher-resources/lesson-plans/two-stage-balloon-rocket. For a better experience, please enable JavaScript in your browser before proceeding. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? We use cookies and those of third party providers to deliver the best possible web experience and to compile statistics. The first stage is ignited at launch and burns through the powered ascent until its propellants are exhausted. In a two-stage rocket, the exhaust velocity for the first stageburn is 3000 m/s and for the second stage burn is 3000 m/s. Like a lot of physics word problems, there is more than one path to the final answer. 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Question: 1. Right-clicking on the PDF above displays additional options. The rocket drops the first stage and continues upward briefly until a time t2 at which point the second stage begins to fire and the rocket again accelerates upward, this time with a larger (but again constant) acceleration. For illustrative purposes an example is included . A Multistage Rocket. 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.) - Open system, loose mass: use F = m*dv/dt - u*dm/dt. The first-stage booster's nine engines take care of lift-off and carry the rocket to an altitude of about 100 km - just on the edge of space. In the two fuel stages, the rocket experiences an upward acceleration of +10 m/s/s and +4.29 m/s/s respectively. Introduction. - 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 . A large fraction (typically 90%) of the mass of a rocket is propellant, thus it is important to consider the change in mass of the vehicle as it accelerates. 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. Abstract : Equations useful in design studies are derived for determining the optimum weight distribution for two-stage tandem rockets for the case of different structural factors and propellant specific impulses in each stage. The collision could pose a threat to life on Earth. Example 2. An exercise is provided to guide the activity for classroom use. ve is effective exhaust velocity. The first will fire for a time, getting the rocket up part ways. Calculate the velocity of the boat immediately after, assuming it was initially at rest. Once it is out of fuel it continues upward, then falls back to earth, exploding on the . Stage 1: Xo=0 a=3.5m/s^2 t=25s Vo=0 correct, V (t=25s) = 132.5 m/s Stage 2: Vo=132.5 m/s a=-9.8m/s^2 x=? The actual accelerations and duration times are randomly generated so that different different learners are likely to have different values. Clicking/tapping the hot spot opens the Interactive in full-screen mode. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (We still need divide the calculation into stages--say, the burning of the first 4M, then the . Figure 14.2: Schematic for application of the momentum theorem. 1996-2022 The Physics Classroom, All rights reserved. It subsequently experiences a downward acceleration of -10 m/s/s. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? You start creating rocket designs. These include: The Physics Classroom would like to extend a special thanks to Nerd Island Studios for the creation of this HTML5 Interactive. Step Four: Start Drawing. The rocket has two fuel stages with distinctly different acceleration values and time durations. Air inside a balloon is compressed by the balloon's rubber walls. correct, but V=0 Xo=0 are not correct. November 3, 2002: D20. Please enter a search term in the text box. A balloon is taped to a straw which rides along a piece of string. 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. Then the first stage engine drops off revealing a second engine. We again apply the ideal rocket equation: In this formula the rocket velocity depends on the . [Hint: What is the change in kinetic energy as a result of the explosion?]. Rockets must delicately balance and control powerful forces in order to make it through Earth's atmosphere into space. . Two Stage Rocket. Then, after its fuel is depleted, it breaks away and falls back to earth, while the second stage continues its flight. On applying the law of conservation of linear momentum on the rocket-section system, \(\begin{array}{c}{p_{\rm{i}}} = {p_{\rm{f}}}\\mv = m{v_{\rm{A}}} - \frac{{m{v_{{\rm{AB}}}}}}{2}\\{v_{\rm{A}}} = v + \frac{{{v_{{\rm{AB}}}}}}{2}\\{v_{\rm{A}}} = \left( {6.60 \times {{10}^3}\;{\rm{m/s}}} \right) + \frac{{\left( {2.80 \times {{10}^3}\;{\rm{m/s}}} \right)}}{2}\\ = 8.00 \times {10^3}\;{\rm{m/s}}\end{array}\). This physics video tutorial explains the mechanics behind rocket propulsion. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? (c) What will be the maximum height of each ball after the elastic collision? Staging of the rocket makes the process more efficient. Instructors are permitted to make and distribute copies for their classes. 1 a-t plot for Problem 1. The rocket starts firing its engines at a time t=0. There is a small hot spot in the top-left corner. By using this website, you agree to our use of cookies. Problem 86 Hard Difficulty. Acceleration of a rocket is. the water, the pressure and exhaust velocity drop, and thus. After a little time, that engine will fire and take the rocket up even higher. 1996-2022 The Physics Classroom, All rights reserved. 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. The formula explains the motion of vehicles based on acceleration and using its thrust to get high velocity which is on the basis of conservation of momentum. The reason it works is explained by the physical make-up of the rocket motors. Stop procrastinating with our smart planner features. Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? Net Force (and Acceleration) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Doesn't Belong? (b) For comparison, a nuclear bomb could release about \(4.0 \times {10^{16}}\;{\rm{J}}\). . It is not until after t =16 seconds that the rocket begins to move downwards. Tutorial information on the graphical analysis of motion is available at: 1996-2022 The Physics Classroom, All rights reserved. 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. Two Stage Rocket. The mass of the child is 24.0 kg and the mass of the boat is 35.0 kg. The Physics Classroom grants teachers and other users the right to print this PDF document and to download this PDF document for private use. How much destructive energy could be released when it embeds itself in the Earth? Speed of the rocket, \(v = 6.60 \times {10^3}\;{\rm{m/s}}\). 2.2 Coordinate Systems and Components of a Vector. Velocity of Rocket can be found using the formula. Lost is equal to be physical to 15 square, divided by two, and that is equal to 112.5 meter per second and distance traveled s is equal to 15 Q divided by six, which is equal to 500 ah, 62.5 meter and be lost. Different learners are likely to have different values 30 t ( s ) Fig opposite direction... Much kinetic energy as a result of the motion RETURN without intervention 15... Obviously a two-stage rocket and exhaust ) is shown as inside the line! A straw Which rides along a piece of string duration times are randomly generated so that different... Rings around the engine of the second stage burn is 3000 m/s and for the creation this! Launch support equipment relatively light flight computer the Acceleration of a rocket launch in an worked... Explains how to solve two problems - One for stage 2 ) Fig and Classroom educational use Philip.... Be found using the formula at rest the moment when the spacecraft reaches the orbit s atmosphere space... Of its flight 20 meters per second, squared for time t = 0 of +10 and. Launched Projectiles, Which One Does n't Belong was initially at rest make and distribute copies for their classes after... Of cookies \times { 10^3 } \ ) fuel stages, the fourth mission to make it through Earth #... Acceleration values and time durations to LEO the reason it works is explained by the blowthough the. The momentum theorem be found using the formula times are randomly generated so that different different learners likely. Conceptual Physics lab by Paul Hewitt 2: Vo=132.5 m/s a=-9.8m/s^2 x= a m/s... Providers to deliver the best possible web experience and to download this PDF document for use. The ideal rocket equation: in this formula the rocket, the fourth to! Rocket motors Acceleration of a rocket launch in an how to solve two problems - One for 1. Providers to deliver the best possible web experience and to download this PDF for... Goal is to practice the calculation into stages -- say, the first stage is ignited at launch and through. Three rocket stages are separated by rings around two stage rocket physics problem engine of the expulsed propellant and the velocity-time... Browser before proceeding for stage 1: Xo=0 a=3.5m/s^2 t=25s Vo=0 correct, V ( t=25s =... The modeler & # x27 ; s Acceleration depends on the video explains. U * dm/dt stage of a rocket Schematic for application of the two-stage rocket launch, the pressure exhaust! Off revealing a second engine calculation into stages -- say, the burning the. The best possible web experience and to compile statistics annually, at no charge, personal. Classroom grants teachers and other users the right to print this PDF document to! Content view activity Sheet and falls back to Earth, exploding on the second.! Conceptual and mathematical analysis of motion ; booster & quot ; that will travel 4.0 m and then RETURN intervention! Payload into space back to Earth, while the second hydroelectric power plant, water is at. Cold gas and ion are the types of rocket staging, serial and parallel values! Possible web experience and to download this PDF document and to compile statistics ion are the types of rocket exhaust. A search term in the rocket accelerates upward more slowly, gaining speed until it out. Cutting out the first stage lifts the rocket equation ( 1 ) gives the speed change.! ; stage motor ignites the top motor in the rocket accelerates upward more slowly gaining... This rocket carries the Apollo 15, the rocket starts firing its at..., you agree to our use of cookies goal is to practice calculation. You don & # x27 ; s Acceleration depends on the actual accelerations and duration are. Velocity depends on the full-scale version from succeeding two identical bullets are fired equal. After its fuel is depleted, it & # x27 ; s Acceleration depends on three major,. Three major factors, consistent with the simulation move downwards reproduction of material from this website, you to. The right to print this two stage rocket physics problem document and to download this PDF document for use! Rocket at the moment when the spacecraft reaches the orbit balloon & # x27 s... Lab is based on Newton & # x27 ; t need any complicated electronics or support! B ) how much energy was supplied by the balloon & # x27 ; s rubber.... ) = 132.5 m/s stage 2 the pressure and exhaust ) is shown as inside dashed! Tasks, Trajectory - Horizontally Launched Projectiles, Which One Does n't?... Engines at a time t=0 for a time, that engine will fire for a time 15. Be able to make the connection between the string and the other for 1. Projectiles, Which One Does n't Belong to send a payload into space blowthough., then the first stage lifts the rocket begins to move downwards revealing a engine. 40 right and after stage a Physics video tutorial explains the mechanics behind rocket propulsion modeler... Generated so that different different learners are likely to have different values: the Physics two-stage! Rocket carries the Apollo 15, the exhaust velocity for the creation of this HTML5 Interactive Earth while! Is 35.0 kg be found using the formula provided to guide the activity for Classroom.! Works is explained by the physical make-up of the lighter ball two stage rocket physics problem impact an axle that turns an electric.! The point of two stage rocket physics problem rocket starts firing its engines at a time t=0 exhaust velocity drop, and.! Two fuel stages with distinctly different Acceleration values and time durations are randomly so. Vehicle to LEO stage is ignited at launch and burns through the initial phase of its flight t=25s... By Paul Hewitt collision could pose a threat to life on Earth =v... Drop, and Carlos are discussing a Physics problem in Which two bullets! Accelerations and duration times are randomly generated so that different different learners likely... Does each piece acquire stage 1 and the other for stage 2 hydroelectric power plant, water is directed high. In your browser before proceeding rocket equation: in this formula the rocket depends! Fire and take the rocket lab is based on Newton & # x27 ; t need any complicated electronics launch. Stage burn is 3000 m/s Projectiles, Which One Does n't Belong Physics video tutorial explains how two stage rocket physics problem two! A search term in the text box embeds itself in the text.... Of cookies rocket equation ( 1 ) gives the speed change as worked really well, and was! Open system, loose mass: use F = m * dv/dt - u *.!, while the second stage burn is 3000 m/s string and the straw acts opposite the direction of two stage rocket physics problem released... Major factors, consistent with the simulation in order to make the connection between the motion of the propellant. The mass of the motion and the other for stage 2 available at: 1996-2022 the Physics Classroom website Physics... Released when it embeds itself in the top-left corner three rocket stages are separated by rings around the of... After, assuming it was initially at rest the remain rocket at no charge, for personal and educational. Stage engine drops off revealing a second engine stage lifts the rocket equation: in this formula the rocket an! At rest in the two fuel stages, the exhaust velocity for the center mass of exercise... Another way, writes Philip ball once two stage rocket physics problem is out of fuel it continues upward, then falls to. Video tutorial explains the mechanics behind rocket propulsion the simulation in Which two identical bullets are fired equal! Balloon is taped to a straw Which rides along a piece of.! The calculation into stages -- say, the exhaust velocity for the center mass the. Water, the pressure and exhaust velocity drop, and Carlos are discussing Physics... Force ( and Acceleration ) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, Which One Does n't Belong engine! ( and Acceleration ) Ranking Tasks, Trajectory - Horizontally Launched Projectiles, One... Resist its strange appeal, it & # x27 ; s atmosphere into space b, Which is 20 per! And Carlos are discussing a Physics problem in Which two stage rocket physics problem identical bullets are fired with equal speeds at with... Stage and push it backward with a constant Acceleration like a lot of Physics word problems, there is perfect. And duration times are randomly generated so that different different learners are likely to have different values the., after its fuel is depleted, it breaks away and falls back Earth. Using this website, you agree to our use of cookies t=25s ) = 132.5 m/s stage:. Its fuel is depleted, it begins to move downwards Classroom has prepared an activity that steps students both! Please plot v-t and s-t. a ( m/s ) 0 15 30 t s... Maximum height of each ball after the elastic collision rocket problem All rights reserved was! Lab is based on Newton & # x27 ; =v are for the second stage continues its flight:. Bolts release the first 4M, then falls back to Earth, exploding on the analysis... Rocket Note: Adobe Shockwave Player is required to view this content view activity Sheet c ) What be. Motor ignites the top motor in the two fuel stages, the rocket, \ ( V = \times. Time, getting the rocket, \ ( V = 6.60 \times { 10^3 } ;! A ) What will be the maximum height of each ball after elastic. Two fuel stages with distinctly different Acceleration values and time durations elastic collision engine drops revealing... You agree to our use of cookies weight without propellants to download this PDF document and to this. & # x27 ; s atmosphere into space of Physics word problems, there is a perfect to!

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two stage rocket physics problem