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A person pulls on a spring, stretching it 15 cm, which requires a maximum force of 750 N. Find the potential energy stored in the spring when it is stretched by 15 cm and compressed by 5 cm.


In the Triwizard Tournament hosted by Hogwarts School, Harry Potter walks 1.5 m southeast, 2.5 m 60° west of south and finally 3.5 m straight south to locate the Triwizard Cup hidden in a massive hedge maze. Determine Potter’s final position relative to his starting point. 


What capacitance is needed to store 3.00μC of charge at a voltage of 120 V?



A uniform electric field with 500 N/C is parallel to a flat square area of 115 m 2 . Calculate the electric flux.


A solid conducting sphere with an area of 16 m 2 has a total charge of 4 μC. Determine the electric field through the Gaussian surface.


Determine the net capacitance C of each network of capacitors shown below. Assume that =1.0pF, =2.0pF,=4.0pF and =5.0pF. Find the charge on each capacitor, assuming there is a potential difference of 12.0V across each network.



Consider a charge (+5.0μC) fixed at a site with another charge (charge +3.0μC, mass 6.0μg) moving in the neighboring space. (a) Evaluate the potential energy of when it is 4.0 cm from . (b) If starts from rest from a point 4.0 cm from , what will be its speed when it is 8.0 cm from ? (Note:is held fixed in its place.




A set of parallel plates has a capacitance of 5.0µF. How much charge must be added to the plates to increase the potential difference between them by 100 V?



source voltage= 40V

series resistance = 200 ohm

zener voltage= 15V


as two boats approach the mariner the velocity of boat 1 relative to boat 2


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