Forces: find angle without x/y components?

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SUMMARY

The discussion centers on solving a physics problem involving a man dragging a package with a force of 40 N and an acceleration of 3.5 m/s². The key challenge is determining the angle at which the force is applied without having the x and y components. The solution involves recognizing that the angle can be calculated using the relationship between the force, mass, and acceleration, specifically applying Newton's second law (F = ma) to find the necessary horizontal force and subsequently the angle using trigonometric functions.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Basic knowledge of trigonometric functions (sine, cosine, tangent)
  • Ability to draw and interpret free-body diagrams
  • Familiarity with acceleration and force concepts
NEXT STEPS
  • Learn how to apply Newton's laws in two dimensions
  • Study trigonometric identities and their applications in physics
  • Explore free-body diagram techniques for complex force problems
  • Investigate the effects of friction on force calculations
USEFUL FOR

Students studying physics, particularly those tackling mechanics problems involving forces and angles, as well as educators looking for clear examples of applying Newton's laws in practical scenarios.

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Homework Statement


I just can't seem to find anything that I can relate to for solving this problem and it's giving me a headache.

I don't even know how to start solving this question. Please help:

A man drags a package across the floor with a force of 40 N. The mass of the package is 10 kg. If the acceleration of the package is 3.5 m/s^2 and friction can be neglected, at what angle to the horizontal does the man pull?

Homework Equations


I know that the angle would normally be inversetan(opp/adj) given the x and y components, or for the x/y components it would be hyp. x cos(angle) or hyp. x sin (angle).
I don't have either one though?

The Attempt at a Solution


I drew out a diagram and I cannot find any examples whatsoever in my notes OR online that isn't overly complex with a bunch of coefficients I don't understand, or just the wrong frickin equations every single time I try to look it up.
 
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Think about the package accelerating. It's accelerating horizontally across the floor. If you were pulling it horizontally, what size of force would be needed to achieve that acceleration?
 
I think I got it, thanks.
 

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