How Do You Calculate the Net Force and Angle in Vector Addition?

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SUMMARY

The net force on the soccer ball, resulting from two players kicking it simultaneously with forces of 58 N west and 75 N south, is calculated to be 95 N. This value is derived using the Pythagorean theorem to find the hypotenuse of the right triangle formed by the two force vectors. To determine the angle of the resultant vector, trigonometric functions, specifically tangent, are employed to find the angle relative to the south direction. The correct angle is either 52° west of south or 38° south of west, depending on the reference direction used.

PREREQUISITES
  • Understanding of vector addition and net force calculation
  • Familiarity with trigonometric functions, particularly sine, cosine, and tangent
  • Knowledge of the Pythagorean theorem for calculating hypotenuses
  • Ability to interpret angles in standard position and reference directions
NEXT STEPS
  • Study vector addition techniques in physics
  • Learn how to apply the Pythagorean theorem in two-dimensional force problems
  • Explore trigonometric functions for angle calculations in vector contexts
  • Practice solving problems involving net force and direction using real-world examples
USEFUL FOR

Students studying physics, educators teaching vector concepts, and anyone interested in understanding force interactions in sports or mechanics.

dance_sg
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1. Two soccer players kick a ball at the same time. One player exerts a force of 58 N west and the other student exerts a force of 75 N south. What is the net force on the ball?



2. V= Vf-Vi, trig formulas



3. i drew this question out and it made a right triangle, so i solved for the hypoteneuse which was 95 [N]. however, i don't know how to figure out the angle. This question is multiple choice, so it's either S 52o W or 38o
 
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When you say "trig formulas", be more specific. That's a hint, BTW.
 
Good hint turin. dance_sg you're on the right track thinking of trigonometrey to find the sides...whaddya know about angles?
 

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