Solving for Unknown Force with Two Given Forces and Constant Velocity

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SUMMARY

The discussion centers on solving for an unknown force acting on a particle moving at a constant velocity of 3.9 m/s - (-3.6 m/s). Given one force as 1.446 N in the x-direction and -5.679 N in the y-direction, the net force must equal zero due to the absence of acceleration. Consequently, the other force must have equal magnitude but opposite direction components to maintain constant velocity, confirming that the sum of forces acting on the particle is zero.

PREREQUISITES
  • Understanding of Newton's laws of motion, specifically the concept of net force.
  • Familiarity with vector addition and force components.
  • Knowledge of constant velocity and its implications on acceleration.
  • Basic proficiency in solving algebraic equations related to force.
NEXT STEPS
  • Study vector decomposition to analyze force components effectively.
  • Learn about Newton's first law of motion and its application in static equilibrium.
  • Explore the concept of net force and its calculation in multi-force systems.
  • Investigate practical applications of constant velocity in physics problems.
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to explain the principles of force and motion in a practical context.

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Homework Statement


While two forces act on it, a particle is to move at the constant velocity = (3.9 m/s) - (-3.6 m/s). One of the forces is 1 = (1.446064618687 N) + (-5.679751753869 N). What is the other force?


Homework Equations


f=ma


The Attempt at a Solution



I don't know an equation to use with velocity in it that would work for this problem. Can someone help me out?
 
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Since the particle is moving at constant velocity, there is no acceleration, therefore the net force or sum of forces = 0. The components of the other force must be equal in magitude and in the opposite directions.
 
The key point is that the velocity is constant. What does that tell you about the particle's acceleration and the net force on it?
 

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