How Does a Force Affect the Final Velocity and Momentum of a Moving Body?

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SUMMARY

The discussion focuses on calculating the final velocity and momentum of a 4 kg body initially moving northward at 15 m/s after a 10 N force is applied eastward for 1.9 seconds. The final velocity is determined using vector addition, resulting in a magnitude of approximately 18.2 m/s and a direction of 36.87° north of east. The change in momentum is calculated as 19.2 kg·m/s toward the east, confirming the impact of the applied force on the body's motion.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of vector addition and decomposition
  • Familiarity with the concept of impulse as a vector quantity
  • Basic skills in momentum calculations
NEXT STEPS
  • Study vector decomposition techniques for force and velocity
  • Learn about impulse-momentum theorem applications
  • Explore advanced topics in dynamics, such as collision analysis
  • Review examples of calculating resultant velocities in multi-dimensional motion
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Students in physics, educators teaching mechanics, and anyone interested in understanding the effects of forces on moving bodies.

Jtappan
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Homework Statement



A 4 kg body is initially moving northward at 15 m/s. Then a force of 10 N, toward the east, acts on it for a time of 1.9 s.

(a) At the end of that time, what is the body's final velocity? Magnitude ____ m/s
Direction _____ ° north of east

(b) What is the change in momentum during that time?
19.2 5kg·m/s toward the east toward the west


Homework Equations



??

The Attempt at a Solution



I got he change in momentum during the time but i don't know how to find the magnitude and direction of the force...
 
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Jtappan said:
I got he change in momentum during the time but i don't know how to find the magnitude and direction of the force...
You are given the force and the time. Realize that impulse is a vector quantity.
 

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