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Q1. A thermos contains 161 cm3 of coffee at 82.0 °C. To cool the coffee, you drop two 10.8-g ice cubes into the thermos. The ice cubes are originally at 0 °C and melt completely. What is the final temperature of the coffee in degrees Celsius? Care for the coffee as if it were water.
Q2. A fountain shoots a jet of water 10 m into the air. The fountain has a round nozzle of diameter 2.5 cm at ground level, fed by a pump located 3.5 m below ground through a round pipe of diameter 9.15 cm.
What is the gauge pressure of the water at the pump? Suppose steady, laminar flow of water, no viscosity, and no air drag on the water jet. The acceleration of gravity is 9.81 m/s2.
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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