Calculating Net Force: 11.3N Bucket Pulled by 8.7N & Unknown Angle Force

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To calculate the net force on the bucket, consider the weight of 11.3 Newtons and the two pulling forces: one of 8.7 Newtons at 51 degrees and the other at 15 degrees. A free-body diagram is essential for visualizing the forces and their components. The horizontal components of the two forces must balance each other for the net force to be vertical. This approach allows for solving the problem even with only the angle of the second force provided.
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A bucket of water which weighs 11.3 Newtons is pulled vertically using two forces. The first of magnitude 8.7 Newtons acts at an angle 51 degrees from the vertical. The second acts at an angle 15 degrees from the vertical. Find the net force acting on the bucket (due to the forces and the weight) in Newtons.

How do I find the magnitude of the second when only the angle is given for it?
 
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Draw a freebody diagram on the body,

You know the forces acting on it Weight, and the other 2 forces.
 
Hint: If the net force is solely vertical, the two horizontal components of force had better be equal and opposite to each other.
 
Didn't you post the same question in the college level help ?

marlon
 

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