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A 10,000 kg satellite is orbiting planet A, which has a mass of 8.68 x 10^25 kg. The satellite is 6.55x10^8 m away from Planet A. a. Find the tangential speed of the satellite.

A 10,000 kg satellite is orbiting planet A, which has a mass of 8.68 x 10^25 kg. The satellite is 6.55x10^8 m away from Planet A. a. Find the tangential speed of the satellite.

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:** A 10,000 kg satellite is orbiting Planet A, which has a mass of \(8.68 \times 10^{25}\) kg. The satellite is \(6.55 \times 10^8\) m away from Planet A. a. Find the tangential speed of the satellite. **Solution Steps:** 1. Use the formula for gravitational force to equate it to the centripetal force to find the tangential speed. 2. Recall formulas and solve for the required tangential speed. --- The satellite stops suddenly and will begin falling towards Planet A. b. Find the satellite’s velocity when it is one-half the distance to Planet A. **Solution Steps:** 1. Use conservation of energy principles to determine the change in kinetic and potential energy. 2. Calculate the velocity at the new distance. --- Now assume that when the satellite stopped, Planet B was \(3.50 \times 10^8\) m away. The satellite under the influence of gravity from both planets remains stationary. c. Find the mass of Planet B. **Solution Steps:** 1. Analyze the conditions for the satellite to remain stationary. 2. Balance the gravitational forces from both planets. 3. Solve for the mass of Planet B.
Transcribed Image Text:**Problem Description:** A 10,000 kg satellite is orbiting Planet A, which has a mass of \(8.68 \times 10^{25}\) kg. The satellite is \(6.55 \times 10^8\) m away from Planet A. a. Find the tangential speed of the satellite. **Solution Steps:** 1. Use the formula for gravitational force to equate it to the centripetal force to find the tangential speed. 2. Recall formulas and solve for the required tangential speed. --- The satellite stops suddenly and will begin falling towards Planet A. b. Find the satellite’s velocity when it is one-half the distance to Planet A. **Solution Steps:** 1. Use conservation of energy principles to determine the change in kinetic and potential energy. 2. Calculate the velocity at the new distance. --- Now assume that when the satellite stopped, Planet B was \(3.50 \times 10^8\) m away. The satellite under the influence of gravity from both planets remains stationary. c. Find the mass of Planet B. **Solution Steps:** 1. Analyze the conditions for the satellite to remain stationary. 2. Balance the gravitational forces from both planets. 3. Solve for the mass of Planet B.
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