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Q.A child applies a force vec F parallel to the x-axis to a 10.0-rm kg sled moving on the frozen surface of a small pond. As the child controls the speed of the sled, the x-component of the force she applies varies with the x-coordinate of the sled. Suppose the sled is initially at rest at x=0. You can ignore friction between the sled and the surface of the pond. Use the work-energy theorem to find the speed of the sled at 3.0 m.
Q. A 50.0 ice skater spins about a vertical axis through her body with her arms horizontally outstretched, making 2.50 turns each second. The distance from one hand to the other is 1.5 . Biometric measurements indicate that each hand typically makes up about 1.25 of body weight.
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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