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Question1
Two identical clocks, A and B, are at first synchronized at the bottom inside a vacuum chamber xed on the ground. Clock B is after that kicked upward, and rise and fall under gravity only inside the chamber. Its greatest height is 1 meter (relative to clock A). Clock A stays at rest relative to the ground. At what time clock B comes back to the position of clock A, which clock's reading is larger? By how many femto seconds? What if clock B reached a maximum height of 100 meters instead (still inside the chamber)? The gravitational acceleration is 9:8m=s2. Ignore effects of the spin of the earth.
Question2
Helicopter is ascending vertically with a speed of 5.35. At a height of 116 above Earth, a package is dropped from a window. How much time does it take for the package to reach the ground?
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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