Two forces act on a object with different magnitudes and direction

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SUMMARY

The discussion centers on calculating the acceleration of a 48 kg object subjected to two forces: one with a magnitude of 65N at an angle of 59° clockwise from the positive x-axis, and another with a magnitude of 35N at 32° clockwise from the positive y-axis. To determine the object's acceleration, participants emphasize the necessity of vector addition to combine the forces' components. The fundamental equation used is F = ma, where F represents the net force and m is the mass of the object.

PREREQUISITES
  • Understanding of vector addition in physics
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with Newton's second law (F = ma)
  • Basic skills in resolving forces into components
NEXT STEPS
  • Study vector addition techniques for forces
  • Learn how to resolve forces into their x and y components
  • Explore applications of Newton's second law in different contexts
  • Practice problems involving multiple forces acting on an object
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Students studying physics, particularly those focusing on mechanics, as well as educators and tutors assisting with force and motion concepts.

qtgrl120
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Homework Statement


Two forces act on a 48 kg object. One force has magnitude 65N directed 59° clockwise from the positive x-axis and the other has a magnitude 35N at 32° clockwise from the positive y-axis. What is the magnitude of this object's acceleration?



Homework Equations


F = ma
and there's prob more equations...

The Attempt at a Solution


I really do not know how to solve this one. I know you need to use the angles and cos and sin somewhere but I am really confused. Help?!
 
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Welcome to PF!

qtgrl120 said:
Two forces act on a 48 kg object. One force has magnitude 65N directed 59° clockwise from the positive x-axis and the other has a magnitude 35N at 32° clockwise from the positive y-axis. What is the magnitude of this object's acceleration?

Hi qtgrl120! Welcome to PF! :smile:

Forces are vectors, so use vector addition (or just add the components) to find the total force. :wink:
 

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