How do I calculate net force given two force vectors and other parameters?

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SUMMARY

The discussion centers on calculating net force using two-dimensional velocity vectors and mass. The participant is tasked with determining whether to present the net force as a vector or a scalar value. The correct approach is to provide the vector value, specifically F = (11.25N i) + (-22.5N j), while also noting the magnitude of the vector, which is 25.16N. Including both representations is acceptable for clarity.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with vector addition and subtraction
  • Knowledge of two-dimensional kinematics
  • Basic proficiency in calculating vector magnitudes
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  • Study vector representation in physics, focusing on force vectors
  • Learn about Newton's Second Law and its applications in two-dimensional motion
  • Explore the concept of vector magnitude and direction in physics
  • Review examples of net force calculations in various scenarios
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This discussion is beneficial for physics students, educators, and anyone involved in mechanics or engineering who needs to understand force calculations in two dimensions.

synergix
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Homework Statement



I am given two two dimensional velocities one final one initial and the time taken for the velocity of the object to change. I am also given the mass and asked to calculate net force.

The calculations are very easy but when asked for the net force am I supposed to give the whole vector value or simply state the two vectors? I am pretty sure I must state the total vector value but I'm not positive.

so either

F= (11.25N i)+(-22.5N j)

or

F= sqrt((11.2Ni)^2+(-22.5Nj)^2)= 25.16
 
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I would go with the vector answer. Nothing wrong with including both if that is possible.
 
Ok thanks
 

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