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A 1 255.0 kg car traveling initially with a speed of 25.000 m/s in an easterly direction crashes into the back of a 9 400.0 kg truck moving in the same direction at 20.000 m/s. The velocity of the car right after the collision is 18.000 m/s to the east. (a) What is the velocity of the truck right after the collision? (Give your answer to five significant figures.) (b) What is the change in mechanical energy of the car–truck system in the collision? (c) Account for this change in mechanical energy.
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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