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1. A ball is released at the top of a hill. In the space provided, draw graphs that show the position, velocity, and acceleration of the ball, as it rolls down the hill. Please label your axes appropriately. Numerical labels are not necessary.
2. The hill in Question 1 is at an angle of 5° with respect to the horizontal ground. First, show the algebraic equation for the acceleration of the ball in this situation. Then, calculate the acceleration.
3. When the ball reaches the bottom of the hill, it continues to roll. The ball reaches another hill. It rolls up this hill, but does not reach the top. It then rolls back down the hill. In the space provided, draw graphs that show the position, velocity, and acceleration of the ball as it rolls up and down this second hill. Consider the positive direction to be up the hill! (This is important.) Label your axes. Numerical labels are not necessary.
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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