Two forces act on a object with different magnitudes and direction

AI Thread Summary
To determine the acceleration of a 48 kg object acted upon by two forces, one measuring 65N at 59° from the x-axis and another at 35N at 32° from the y-axis, vector addition is essential. The forces must be broken down into their components using trigonometric functions (sine and cosine) to find the resultant force. Once the total force is calculated, apply Newton's second law, F = ma, to find the object's acceleration. Understanding the vector nature of forces is crucial for solving this problem. Properly calculating the components will lead to the correct acceleration value.
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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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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