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Q1. A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x10 from x=1 to x=1. The trough is full of water. Find out the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot.
Q2. 0.245 kg skeet (clay target) is fired at an angle of 33degrees to the horizon with a speed of 24.4 m/s. When it reaches the highest height, h, it is hit from below by the 15 m g pellet travelling vertically upward at a speed of 188m/s. The pellet is embedded in the skeet. How much extra distance, ?x, does the skeet travel because of the collision?
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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