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1- A hydraulic jack for changing car tires is designed with a primary cylinder (the one you push down on) 1 cm in diameter and a secondary cylinder (the one that pushes up on the car) 5cm in diameter. You get a mechanical advantage of five -to-one from the level on the device as well (that is, the force on the cylinder is five times the force you apply to the lever). If you push down on the lever with 250 N, how much force acts to lift the car? Ignore any difference in height.
2- A steel meter stick is correctly calibrated at 20 degrees Celsius. How long would it be in a commercial freezer which is maintained at -5 degrees Celsius?
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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