Projectile Motion - Center of Mass

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SUMMARY

The discussion centers on calculating the horizontal distance of the center of mass (COM) after a rocket, launched at 18.0 m/s at an angle of 51.0 degrees, explodes into two equal mass pieces. The calculated distance of the COM is 32.4 meters from the launch point. Given that one piece lands 26.0 meters away, the other piece's landing point can be determined using the COM equation, which states that the position of the COM is the weighted average of the positions of the two masses.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of center of mass calculations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the equations of motion for projectile trajectories
  • Learn how to calculate the center of mass for multiple objects
  • Explore kinematic equations in detail, particularly for two-dimensional motion
  • Investigate the effects of mass distribution on the center of mass
USEFUL FOR

Students in physics, educators teaching projectile motion, and anyone interested in understanding the dynamics of explosions and their effects on center of mass calculations.

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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