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The Starship Enterprise returns from warp drive to ordinary space with a forward speed of 58 . To the crew's great surprise, a Klingon ship is 120 directly ahead, traveling in the same direction at a mere 30 . Without evasive action, the Enterprise will overtake and collide with the Klingons in just about 4.3 . The Enterprise's computers react instantly to brake the ship. What magnitude acceleration does the Enterprise need to just barely avoid a collision with the Klingon ship? Assume the acceleration is constant.
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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