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Space probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 4100-kg satellite uses this method to separate from the 1200-kg remains of its launcher, and that 3000 J of kinetic energy is supplied to the two parts. Assume that the satellite and launcher are at rest before separation and the direction of the satellite's velocity after separation is positive. Gravity is negligible compared to the force of explosion. Consider: Let the subscripts i and f denote the initial and final velocities and the subscripts s and/ denote the satellite and the launcher, respectively. How many knowns are there and how many unknowns? satellite launcher Before launch ↑v Vsf satellite launcher V₁₁ After launch

Space probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 4100-kg satellite uses this method to separate from the 1200-kg remains of its launcher, and that 3000 J of kinetic energy is supplied to the two parts. Assume that the satellite and launcher are at rest before separation and the direction of the satellite's velocity after separation is positive. Gravity is negligible compared to the force of explosion. Consider: Let the subscripts i and f denote the initial and final velocities and the subscripts s and/ denote the satellite and the launcher, respectively. How many knowns are there and how many unknowns? satellite launcher Before launch ↑v Vsf satellite launcher V₁₁ After launch

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Please answer only part d
### Rocket Physics: Conservation of Momentum and Energy #### (a) For the system of space probes and launcher, is the force of the exploding bolts: - ☐ Internal - ☐ External #### (b) Is momentum conserved in this case? - ☐ Yes, momentum is conserved because no external forces act on the system. - ☐ No, momentum is not conserved because the force of the expanding bolts is present. #### (c) What is the KE of the system after separation? \[ KE_f = \] ☐ J #### (d) Solve for their subsequent velocities. **Hint:** How many equations do you need to solve for the unknowns? Can you identify and set up the equations? \[ v_{s,f} = \] ☐ m/s \[ v_{l,f} = \] ☐ m/s --- This exercise explores the principles of conservation of momentum and energy in the context of space exploration.
Transcribed Image Text:### Rocket Physics: Conservation of Momentum and Energy #### (a) For the system of space probes and launcher, is the force of the exploding bolts: - ☐ Internal - ☐ External #### (b) Is momentum conserved in this case? - ☐ Yes, momentum is conserved because no external forces act on the system. - ☐ No, momentum is not conserved because the force of the expanding bolts is present. #### (c) What is the KE of the system after separation? \[ KE_f = \] ☐ J #### (d) Solve for their subsequent velocities. **Hint:** How many equations do you need to solve for the unknowns? Can you identify and set up the equations? \[ v_{s,f} = \] ☐ m/s \[ v_{l,f} = \] ☐ m/s --- This exercise explores the principles of conservation of momentum and energy in the context of space exploration.
**Topic: Space Probes and Launch Mechanics** 1. **Problem Statement:** Space probes may be separated from their launchers by exploding bolts, which drive them apart. Suppose a 4100-kg satellite uses this method to separate from the 1200-kg remains of its launcher, with 3000 J of kinetic energy supplied to the two parts. Assume the satellite and launcher are initially at rest, and the separation direction is positive. Gravity's effect is negligible compared to the explosive force. **Considerations:** Let the subscripts *i* and *f* denote initial and final velocities. Use *s* for the satellite and *l* for the launcher, respectively. Determine the knowns and unknowns. 2. **Diagrams:** - **Before Launch:** - A rectangle labeled "satellite" sits above a longer rectangle labeled "launcher." - **After Launch:** - The "satellite" moves upward with velocity \( v_{\text{sf}} \). - The "launcher" moves downward with velocity \( v_{\text{lf}} \). These diagrams illustrate the initial and resulting positions and velocities of the satellite and launcher. **Key Questions:** - What are the known masses and energy values? - What velocities need to be calculated?
Transcribed Image Text:**Topic: Space Probes and Launch Mechanics** 1. **Problem Statement:** Space probes may be separated from their launchers by exploding bolts, which drive them apart. Suppose a 4100-kg satellite uses this method to separate from the 1200-kg remains of its launcher, with 3000 J of kinetic energy supplied to the two parts. Assume the satellite and launcher are initially at rest, and the separation direction is positive. Gravity's effect is negligible compared to the explosive force. **Considerations:** Let the subscripts *i* and *f* denote initial and final velocities. Use *s* for the satellite and *l* for the launcher, respectively. Determine the knowns and unknowns. 2. **Diagrams:** - **Before Launch:** - A rectangle labeled "satellite" sits above a longer rectangle labeled "launcher." - **After Launch:** - The "satellite" moves upward with velocity \( v_{\text{sf}} \). - The "launcher" moves downward with velocity \( v_{\text{lf}} \). These diagrams illustrate the initial and resulting positions and velocities of the satellite and launcher. **Key Questions:** - What are the known masses and energy values? - What velocities need to be calculated?
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