Calculating Work Done: Understanding the Relationship between Force and Distance

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SUMMARY

The discussion focuses on calculating work done using the formula W = F * d, where a force of 10 Newtons acts at an angle while moving an object 25 meters. The initial confusion arose from interpreting the direction of the force and displacement, leading to an incorrect calculation of work done. The correct approach requires understanding the angle between the force and displacement, which is 45 degrees in this case, resulting in a work done of 0J due to the force and displacement being perpendicular.

PREREQUISITES
  • Understanding of basic physics concepts, specifically work and energy.
  • Familiarity with vector components and trigonometry.
  • Knowledge of the formula W = F * d.
  • Ability to interpret angles in physics problems.
NEXT STEPS
  • Study vector decomposition in physics to resolve forces into components.
  • Learn about the work-energy theorem and its applications.
  • Explore problems involving forces at angles, particularly using trigonometric functions.
  • Review the concept of perpendicular forces and their impact on work done.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone seeking to deepen their understanding of work, force, and displacement relationships in mechanics.

synkk
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So I'm trying to get ahead of the class for next year and I've started reading this physics book, now I've come along to work and I'm slightly confused on what's happening.


Homework Statement


A force of 10 Newtons to the north-east acts on an object as it moves 25 metres to the south-east. What is the work done by the force?

Homework Equations



W = F*d


The Attempt at a Solution



I've tryed to use trigonometry to solve this, but i don't think i done it correct as the answer is 0J

cos = A/h

a = 25

25/cos45 = h

h * 10 = W

I get around 353J which is completely wrong.

If anyone could help me out, it'd be great.
 
Last edited:
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synkk,

The problem does sound misleading with the term "north-easterly direction" as though it is not displaced exactly to the north east. However the 45 degree angle makes me think it is exactly to the north east (i.e. 45 degrees away from the north). Kudos on trying to get ahead!
 
Thank you i managed to solve a few more problems, my bad on not reading it properly :).

I'm going to update the thread with a new question which I am frankly baffled at.
 

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