Engineering Find the reactive power before power factor correction

falyusuf
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Homework Statement
The power factor of a certain load is improved to 0.92 lagging with the addition of a 30 kVAR bank of capacitors. If the resulting supply apparent power is 200 kVA, determine the power factor before correction.
Relevant Equations
Attached below.
Relevant Equations:
1649681109134.png


My solution:
1649681733618.png


Could someone please verify my answer?
 
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It is correct.
 
Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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