How to Calculate Average Resultant Force?

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SUMMARY

The calculation of Average Resultant Force involves determining the difference between two orthogonal vectors and dividing by the time interval. In this case, the truck's initial speed is represented as 6i m/s and its final speed as 4j m/s. The correct formula to use is ΔF/Δt = m(v_f - v_i)/Δt, which leads to the correct average force calculation. The final answer is derived by finding the magnitude of the resultant vector.

PREREQUISITES
  • Understanding of vector mathematics, specifically orthogonal vectors
  • Familiarity with Newton's second law of motion
  • Knowledge of unit vectors in physics
  • Basic algebra for manipulating equations
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  • Study vector addition and subtraction in physics
  • Learn about Newton's laws of motion in detail
  • Explore the concept of resultant vectors and their magnitudes
  • Practice problems involving average force calculations in different scenarios
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for clear examples of vector calculations and average force concepts.

jack1234
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[SOLVED] Average Resultant Force

Hi for this question
http://tinyurl.com/3cbxlq

What I try is
Average Force
=(mv-mu)/t
=2000(6-4)/4
=1000
but this is not one of the answers. Meaning it is wrong.

May I know how to do this question?
 
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Well one has to take the difference between two vectors which are orthogonal (90°). So find the resultant vector and divide by the time to obtain the average acceleration.

\frac{\Delta\vec{F}}{\Delta{t}}\,=\,m\frac{\vec{v_f}-\vec{v_i}}{\Delta{t}}

Assume the truck's initial speed is 6 i m/s and it takes a right turn and has speed 4 j m/s, where i and j are unit vectors in the x and y directions
 
Last edited:
Got it, thanks :) Using magnitude of vector to get the answer, it is c.
 
Correct! :cool:
 

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