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1. During your free time, you reassessed the interior of your house. You decided to move a 53.0-kg sofa across the room. However, the diagonal path is blocked by a heavy center table. You only have the choice of sliding it on the two sides of a corner wall. Each side measures 2.6 m and 3.0 m respectively. Compare how much work must be done in sliding the sofa on the sides against the work done diagonally. (Note: the coefficient of kinetic friction is 0.17. SHOW THE COMPLETE SOLUTION.
2. Trampolines can send you high up the air just by jumping on it. What makes a trampoline bouncy? Give the forces involved and categorized whether it is conservative or nonconservative? Explain the energy conversion and if Law of Conservation of Energy is followed or not? EXPLAIN.
3. During special occasions such as New Year, firecrackers are always present to welcome another year with a "boom". After being lighted, the Fragments of an exploding firecracker fly off due to the chemical reaction of gunpowder with oxygen. Is the force present conservative or nonconservative? Does it also follow the Law of Conservation of Energy? EXPLAIN.
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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