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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
17 Nov 2021

Given information

The distance at which the rocket separates two parts is .

The mass of part II is three times larger than that of the part I.

Step-by-step explanation

Step 1.

Center of mass of a system is defined as the point at which the total weight of the system is considered to be act.

The path of the center of mass of the system follows the parabolic path traveled by the rocket. Therefore, the position of the center of mass of the system will be at a distance from the starting point.

The formula to calculate the position of the center of mass of the system is

 

Here, is the position of the center of mass, is the mass of the part I, is the mass of the part II, is the position of the part I and is the position of the part II.

 

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