Momentum & Angles Homework: Find Total Momentum

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SUMMARY

The discussion focuses on calculating the total momentum of a system consisting of a golf ball and a baseball. The golf ball, with a mass of 0.045 kg and a speed of 6.10 m/s in the +x-direction, and the baseball, with a mass of 0.145 kg and a speed of 2.20 m/s in the -y-direction, require vector addition to determine the total momentum. The correct approach involves using the momentum formula P=mv for each object and applying the Pythagorean theorem to find the magnitude and tangent for the angle from the +x-axis. The final results include both the magnitude of momentum in kg·m/s and the angle in degrees.

PREREQUISITES
  • Understanding of vector addition in physics
  • Familiarity with the momentum formula P=mv
  • Knowledge of the Pythagorean theorem
  • Basic trigonometry for angle calculation
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  • Study vector addition in physics, focusing on momentum
  • Learn about the concept of center of mass and its relation to momentum
  • Explore examples of momentum calculations in two-dimensional systems
  • Review trigonometric functions and their applications in physics
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Students studying physics, particularly those focusing on mechanics and momentum calculations, as well as educators looking for teaching strategies related to vector analysis.

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Homework Statement



A golf ball of mass 0.045 kg is moving in the +x-direction with a speed of 6.10 m/s, and a baseball of mass 0.145 kg is moving in the -y-direction with a speed of 2.20 m/s. What are the magnitude and direction of the total momentum of the system consisting of the two balls?

_________kg·m/s

_________° (from the +x axis)

Homework Equations



P=mv and I'm not sure what else...

The Attempt at a Solution



My teacher said that we should be able to teach ourselves momentum, so as one might be able to tell, I'm not sure where to start.
I tried doing (.045x6.1) + (.145x2.2) = P, but that didn't work. How should I start? Are there other equations I should know?

Thank you so much for your help!
 
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Did you learn about center of mass? I'm sure your textbook probably has a section on it. The momentum of the system is the same as the momentum of the center of mass of the system.
 
SuperCass said:

The Attempt at a Solution



My teacher said that we should be able to teach ourselves momentum, so as one might be able to tell, I'm not sure where to start.
I tried doing (.045x6.1) + (.145x2.2) = P, but that didn't work. How should I start? Are there other equations I should know?

Thank you so much for your help!

Momentum is a vector, with the same direction as the velocity of the object. You need to add the two momenta as vectors; don't simply add (.045x6.1)+(.145x2.2).
 
I just solved it, thank you everyone!

(I did pythagorean theorum and for the angle I just did tangent!)
 

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