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Question1
A 50-kg student on a sled starts from rest at a vertical height of 20 m above horizontal base of a hill and slides down. a) If sled and the student have a speed of 10 m/s at the bottom of the hill, this system is
(1) conservative, (2) non-conservative, or (3) none of the preceding. Why give reasons?
b) What is work done by the non-conservative force?
Question2
Conceptual provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg·m2. While one person is standing on the carousel at a distance of 1.50 m from center, the carousel has the angular velocity of 0.600 rad/s. yet, as this person moves inward to a point located 0.938 m from the center, the angular velocity increases to 0.800 rad/s. What is person’s mass?
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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