•P21 A package of mass 9 kg sits on an airless asteroid of mass 8.0 x 1020 kg and radius 8.7 × 105 m. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 226 m/s. We have a large and powerful spring whose stiffness is 2.8 × 10° N/m. How much must we compress the spring?

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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 P21:**

A package of mass \(9 \, \text{kg}\) sits on an airless asteroid with a mass of \(8.0 \times 10^{20} \, \text{kg}\) and a radius of \(8.7 \times 10^5 \, \text{m}\). The goal is to launch the package so it will never return, and when it is very far from the asteroid, it will be traveling at a speed of \(226 \, \text{m/s}\). A large, powerful spring with a stiffness of \(2.8 \times 10^5 \, \text{N/m}\) is used. The question is: How much must the spring be compressed?
Transcribed Image Text:**Problem P21:** A package of mass \(9 \, \text{kg}\) sits on an airless asteroid with a mass of \(8.0 \times 10^{20} \, \text{kg}\) and a radius of \(8.7 \times 10^5 \, \text{m}\). The goal is to launch the package so it will never return, and when it is very far from the asteroid, it will be traveling at a speed of \(226 \, \text{m/s}\). A large, powerful spring with a stiffness of \(2.8 \times 10^5 \, \text{N/m}\) is used. The question is: How much must the spring be compressed?
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