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A new event has been proposed for the Winter Olympics. An athlete will sprint 100 m, starting from rest, then leap onto a 18 kg bobsled. The person and bobsled will then slide down a 51 m--long ice-covered ramp, sloped at 20 degrees, and into a spring with a carefully calibrated spring constant of 1800 N/m. The athlete who compresses the spring the farthest wins the gold medal. Lisa, whose mass is 39 kg, has been training for this event. She can reach a maximum speed of 8.0 m/s in the 100 m dash. How far will Lisa compress the spring?
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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