Vector Problems: Finding Resultant Forces, Velocities & Components

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SUMMARY

This discussion addresses vector problems involving resultant forces and velocities, specifically focusing on scenarios with forces applied to a cow and a flying cow's velocity affected by wind. The resultant force vector for Katie and John's combined efforts against the cow is calculated as 450 N at an angle of 180 degrees. Amanda's resultant velocity is determined to be 230 m/s at an angle of 270 degrees. The X and Y components of forces and velocities for various scenarios are calculated, including Alex's force components of 843.6 N (X) and 489.4 N (Y), and Bob's components of 48.6 N (X) and 37.6 N (Y).

PREREQUISITES
  • Understanding of vector addition and resultant vectors
  • Knowledge of trigonometric functions for calculating components
  • Familiarity with Newton's laws of motion
  • Basic principles of kinematics, including velocity and angle measurements
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  • Study vector addition techniques in physics
  • Learn how to resolve forces into X and Y components using trigonometry
  • Explore kinematic equations for projectile motion
  • Review examples of resultant forces in real-world applications
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Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators seeking examples for teaching vector problems.

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Homework Statement




1.) Katie pushes on a cow with a force of 200 N while John pulls on the cow with a force of 250 N. If the cow pushes back with a force of 325 N, what is the resultant force vector?

2.) Amanda is riding her flying cow towards north wth a velolcity of 280 m/s. If the wind blows from the west at 50 m/s, what is her resulant vector?

3.) If Alex pulls a cow with a force of 890. N with a rope that is 25 degrees to the horizontal, what are the X and Y components of the force exerted by Alex?

4.) A cow jumps off a diving board witha velocity of 9.5 m/s at a vertical angle of 22 degrees to the vertical. What are the X and Y components of the velocity?

5.) Bob pulls a cow in a wagon with a force of 55 N at an angle of 38 degrees to the horizontal. What are the X and Y components of the force?

Homework Equations


Resultant vector=
x and y components- angle degree measures



The Attempt at a Solution



givens- for #1 Katie's and John's force is in the same direction, the cow is resisting
 
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with a force in the opposite direction 1.) Resultant force vector= 450 N, with an angle of 180 degrees from the direction Katie and John are pulling.2.) Resultant vector= 230 m/s, with an angle of 270 degrees. 3.) X component= 843.6 N, Y component= 489.4 N4.) X component= 8.07 m/s, Y component= 8.45 m/s5.) X component= 48.6 N, Y component= 37.6 N
 

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