how to find magnitude of applied force
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Using the x and y coordinates for the components, this gives F = √(x2 + y2) for the magnitude of the force. Find the resultant force from two vectors by first adding the x-components and y-components to find the resultant vector and then use the same formula for its magnitude.
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The magnitude of the frictional force is the applied force. If the block was accelerating, then you would say Applied Force - Frictional Force = ma and then solve for the magnitude which would be Applied Force= ma+frictional Force.
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