Three People Pulling a Stubborn Donkey
What are the forces exerted by Jack, Jill, and Jane on the stubborn donkey? What is the magnitude of the net force exerted by the three people on the donkey? What is the direction of the net force?
Forces Exerted by Each Person:
Jack: 65.1 N
Jill: 92.1 N at an angle of 45º to the left
Jane: 163 N at an angle of 45º to the right
Magnitude of Net Force:
The magnitude of the net force exerted by the three people on the donkey is 255.51 N.
Direction of Net Force:
The direction of the net force is expressed as an angle from straight ahead, between 0° and 90°. A positive sign indicates angles to the left, while a negative sign indicates angles to the right. In this case, the angle of the net force is 16.17°, which suggests a slight deviation to the left.
Calculation of Power Factor for Combined Loads:
Total Real Power of Load A: 30 kW
Apparent Power of Load A: Approximately 4528.20 kVA
Total Real Power of Load B: Approximately 147.20 kW
Total Apparent Power: Approximately 4758.20 kVA
The power factor of the two loads combined is calculated as follows:
Power Factor = Total Real Power / Total Apparent Power
Power Factor ≈ 0.0372
The power factor of 0.0372 indicates the efficiency of the combined loads in converting electrical energy into useful work. A lower power factor suggests a higher reactive power component and inefficiencies in the system.