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A mass of 10 kg is placed on an incline with friction and no additional forces acting on it and it begins to slide at some angle when the angle is slowly increased as discussed in class. Now, the same mass is placed on the same incline, but an additional force of 27 Newtons is applied to it perpendicular from the incline, away from the incline (it's always in that direction). As the angle of the incline is slowly increased, it slides at a different angle with this force. If the angle which it begins to slide with the force is 36 degrees, how much further can the angle be raised with the force than without the force? Answer in degrees.
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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