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A point charge has a charge of 9.00 x 10^-11C. At what distance from the point charge is the electrical potential (a) 13.0 V? (b) 25.0 V?


In a 24-hour endurance race, a car makes 640 laps of a race track that is 6 km per lap. How far did the car travel in 24 hours? What was its average speed?

Consider an object projected straight upward from z=0 with an initial speed of u. Assume that the object is subjected to a linear drag force of the form D=-mKv

a)From the first principle show that t=1/K In(g+Ku/g+Kv) and use this result to find the time taken to reach the maximum height

b)Find the expression for the speed v as a function of time and find the limiting speed


Two spheres of equal mass and equal charge are separated at a distance r.


(a) Derive an expression for the quantity of charge that must b on each sphere so that the spheres are in an equilibrium where attractive and repulsive forces are balanced.


(b)How would doubling the distance between spheres affect the expression for the value of q from the previous problem. Explain.


A point charge q1 = +3.90 is at origin. How far should the second point charge of +6.30  be placed to have electric potential energy of 0.700 J?



A point charge q1 = + 7.00 x 10-10 C is at the point x = 0.900m, y= 0.700 m and a second point charge q2 = -3.00 x 10-10 C is at the point x = 0.900 m, y= 0m . Calculate the magnitude and direction of the resultant electric field at the origin due to these charges. 



A thin 20-cm x 20-cm flat plate is pulled at 1 m/s horizontally through a 3.6-mm-thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 0.3 m/s, as shown below. The dynamic viscosity of the oil is 0.027 Pa.s. Assuming the velocity in each oil layer varies linearly (a) plot the velocity profile and find the location where the oil velocity is zero (b) determine the force that needs to be applied on the plate to maintain this motion.


 

2. The strength of the uniform electric field between two parallel conducting plates separated by 4.00 cm is 7.50×104 V/m . a) What is the potential difference between the plates?  b) The plate with the lowest potential is taken to be at zero volts. What is the potential 1.00 cm from that plate (and 3.00 cm from the other)?  


5. What must be tge charge of an isolated spherical conductor 30.0 cm in diameter to produce an electric field of 150 N/C just outside the surface?


4. A closed irregular surface encloses a net charge of 1.50 x 10 C. What is the net electric flux through the surface?


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