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1. A spring with a spring constant of 224.8 N/m is compressed by 0.229 m. Then a steel ball bearing of mass 0.0391 kg is put against the end of the spring, and the spring is released. What is the speed of the ball bearing right after it loses contact with the spring? (The ball bearing will come off the spring exactly as the spring returns to its equilibrium position. Assume that the mass of the spring can be neglected.)
2. A horse draws a sled horizontally across a snow-covered field. The coefficient of friction between the sled and the snow is 0.195, and the mass of the sled, including the load, is 210.4 kg. If the horse moves the sled at a constant speed of 1.775 m/s, what is the power needed to accomplish this?
3. A horse draws a sled horizontally across a snow-covered field. The coefficient of friction between the sled and the snow is 0.195, and the mass of the sled, including the load, is 210.4 kg. If the horse moves the sled at a constant speed of 1.775 m/s, what is the power needed to accomplish this?
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.
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