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Q. A powerful bolt of lightning can carry a current of 230 kA. If two such bolts strike simultaneously at a distance of 36 m from each other, what is the magnetic force per meter exerted by one bolt on the other?
Q. A 6000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs. Both springs are described by Hooke's law and have spring constants with k1 = 1700 N/m and k2 = 3400 N/m. After the first spring compresses a distance of 28.5 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in the graph. The car comes to rest 47.5 cm after first contacting the two-spring system. Find the car's initial speed.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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