Calculating acceleration in X and y direction

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SUMMARY

The acceleration in the x-direction and y-direction for a 3.8 kg object subjected to a 35.3 N force at a 23.8-degree angle can be calculated using vector decomposition. The net force (Fnet) must be resolved into its horizontal (Fx) and vertical (Fy) components using trigonometric functions. The correct application of Fnet = ma requires calculating these components first, which was overlooked in the initial attempt.

PREREQUISITES
  • Understanding of Newton's Second Law (Fnet = ma)
  • Basic knowledge of vector decomposition
  • Familiarity with trigonometric functions (sine, cosine)
  • Ability to create and interpret Free Body Diagrams (FBD)
NEXT STEPS
  • Learn how to resolve forces into components using trigonometric functions
  • Study the creation and analysis of Free Body Diagrams (FBD)
  • Explore applications of Newton's Second Law in two dimensions
  • Practice problems involving forces at angles and their resultant accelerations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators looking for examples of vector decomposition in force problems.

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Homework Statement


What will the Acceleration be in the x-direction and the y-direction if there is a 35.3 N force pulling on a 3.8kg object at a 23.8 Degree angle to the horizontal?


Homework Equations


Fnet=ma
sohcahtoa


The Attempt at a Solution


I tried to do simply put f=ma and do 35.3=3.8kg * A.
but that gave me the wrong answer. What did I do wrong?
 
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First, remember that Fnet is a vector, so you have to consider both the horizontal and vertical components that make up the net force, and the 22.8 degree angle you have is going to affect the magnitude of your components. Hopefully this helps, and don't forget to make an FBD.
 

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