Projectile Motion - Center of Mass

AI Thread Summary
The discussion revolves around a physics problem involving projectile motion and the center of mass of two pieces of a rocket after an explosion. The rocket is launched at 18.0 m/s at an angle of 51.0 degrees, and the challenge is to calculate the horizontal distance of the center of mass after both pieces land. One participant calculated the center of mass to be 32.4 meters from the launch point but is uncertain about determining the landing position of the second piece. The key equation needed involves the positions of the two masses to find the center of mass. Understanding these principles is essential for solving the problem accurately.
annastewert
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Homework Statement


In a fireworks display a rocket is launched from the ground with a speed of 18.0m/s and a direction of 51.0 above the horizontal. During the flight, the rocket explodes into two pieces of equal mass. What horizontal distance from the launch point will the center of mass of the two pieces be after both have landed on the ground? If one piece lands a horizontal distance of 26.0m from the launch point, where does the other piece land?

Homework Equations


Kinematics?

The Attempt at a Solution


I got 32.4m for the final distance of the center of mass, but I'm not sure what to do for the landing point of the second piece.
 
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Find out the equation that tells you the pisition of the com from the positions of the two masses.
 
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