### Problem StatementThe Xanthar mothership locks onto an enemy cruiser with its tractor beam (see the figure below); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at \( x = 0 \) when its tractor beams are first engaged, a distance \( d = 205 \) xiles from the cruiser. Determine the \( x \)-position in xiles (measured from \( x = 0 \)) of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass \( M = 195 \) xons and the cruiser of mass \( m = 28.0 \) xons.### Diagram ExplanationThe diagram shows the Xanthar mothership (labeled \( M \)) on the left, and an enemy cruiser (labeled \( m \)) on the right. The two ships are aligned horizontally, with the mothership at position \( x = 0 \) and a distance \( d \) between them. The tractor beam is depicted as an orange cone extending from the mothership towards the cruiser.There is a horizontal arrow with a label \( x = 0 \) at the mothership's position and \( d \) indicating the initial distance to the cruiser. The prompt includes a "HINT" button but does not specify its content.### Calculation RequirementYou are required to determine the final \( x \)-position of both the mothership and the cruiser when they've been pulled together by the tractor beam, taking into account their respective masses. A text box is provided for entering the result in xiles.

Mass of the mothership, M=195 xons Mass of the cruiser, m=28.0 xons x=0 xiles d=205 xiles There is no external force, therefore the x position of two spacecraft: XCM=M.X+mdM+m Plugging in the given values: XCM=195×0+28×205195+28 =25.74 xiles Answer: The x position of two spacecraft: 25.74 xiles.There is no external force, therefore the x position of two spacecraft: XCM=M.X+mdM+m Plugging in the given values: XCM=195×0+28×205195+28 =25.74 xiles Answer: The x position of two spacecraft: 25.74 xiles.Answer: The x position of two spacecraft: 25.74 xiles.

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The Xanthar mothership locks onto an enemy cruiser with its tractor beam (see the figure below); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at x = 0 when its tractor beams are first engaged, a distance d = 205 xiles from the cruiser. Determine the x-position in xiles (measured from x = 0) of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass M = 195 xons and the cruiser of mass m = 28.0 xons.

The Xanthar mothership locks onto an enemy cruiser with its tractor beam (see the figure below); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at x = 0 when its tractor beams are first engaged, a distance d = 205 xiles from the cruiser. Determine the x-position in xiles (measured from x = 0) of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass M = 195 xons and the cruiser of mass m = 28.0 xons.

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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Question

### Problem Statement

The Xanthar mothership locks onto an enemy cruiser with its tractor beam (see the figure below); each ship is at rest in deep space with no propulsion following a devastating battle. The mothership is at \( x = 0 \) when its tractor beams are first engaged, a distance \( d = 205 \) xiles from the cruiser. Determine the \( x \)-position in xiles (measured from \( x = 0 \)) of the two spacecraft when the tractor beam has pulled them together. Model each spacecraft as a point particle with the mothership of mass \( M = 195 \) xons and the cruiser of mass \( m = 28.0 \) xons.

### Diagram Explanation

The diagram shows the Xanthar mothership (labeled \( M \)) on the left, and an enemy cruiser (labeled \( m \)) on the right. The two ships are aligned horizontally, with the mothership at position \( x = 0 \) and a distance \( d \) between them. The tractor beam is depicted as an orange cone extending from the mothership towards the cruiser.

There is a horizontal arrow with a label \( x = 0 \) at the mothership's position and \( d \) indicating the initial distance to the cruiser. The prompt includes a "HINT" button but does not specify its content.

### Calculation Requirement

You are required to determine the final \( x \)-position of both the mothership and the cruiser when they've been pulled together by the tractor beam, taking into account their respective masses. A text box is provided for entering the result in xiles.

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