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Two manned satellites approach one another at a relative velocity of v = 0.170 m/s, intending to dock. The first has a mass of m₁ = 4.00 × 10³ kg and the second a mass of m₂ = 7.50 × 10³ kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? final relative velocity: m/s 는

Two manned satellites approach one another at a relative velocity of v = 0.170 m/s, intending to dock. The first has a mass of m₁ = 4.00 × 10³ kg and the second a mass of m₂ = 7.50 × 10³ kg. If the two satellites collide elastically rather than dock, what is their final relative velocity? final relative velocity: m/s 는

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Description:** Two manned satellites approach one another with a relative velocity of \( v = 0.170 \, \text{m/s} \), intending to dock. The first satellite has a mass of \( m_1 = 4.00 \times 10^3 \, \text{kg} \) and the second satellite has a mass of \( m_2 = 7.50 \times 10^3 \, \text{kg} \). If the two satellites collide elastically rather than dock, what is their final relative velocity? **Visual Explanation:** The image shows two satellites in space with solar panels extended. They are facing each other, implying they are on course for a potential docking or collision. **Calculation Requirement:** To find the final relative velocity after an elastic collision, consider the conservation of momentum and kinetic energy principles. **Prompt for User Input:** - Final Relative Velocity: [________] m/s Fill in the provided space with your answer based on the analysis of the given scenario.
Transcribed Image Text:**Problem Description:** Two manned satellites approach one another with a relative velocity of \( v = 0.170 \, \text{m/s} \), intending to dock. The first satellite has a mass of \( m_1 = 4.00 \times 10^3 \, \text{kg} \) and the second satellite has a mass of \( m_2 = 7.50 \times 10^3 \, \text{kg} \). If the two satellites collide elastically rather than dock, what is their final relative velocity? **Visual Explanation:** The image shows two satellites in space with solar panels extended. They are facing each other, implying they are on course for a potential docking or collision. **Calculation Requirement:** To find the final relative velocity after an elastic collision, consider the conservation of momentum and kinetic energy principles. **Prompt for User Input:** - Final Relative Velocity: [________] m/s Fill in the provided space with your answer based on the analysis of the given scenario.
Expert Solution
Step 1: Initial relative velocity

Write the expression for the initial relative velocity and substitute the corresponding values.

table row cell v equals u subscript 1 minus u subscript 2 end cell row cell 0.170 text  m/s end text equals u subscript 1 minus u subscript 2 end cell row cell u subscript 1 minus u subscript 2 equals 0.170 text  m/s end text end cell end table

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