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Q1. During an all-night cram session, a student heats up a one-half liter (0.50 x 103 m3) glass (Pyrex) beaker of cold coffee. At first, the temperature is 18 °C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 92 °C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?
Q2. Far in space, where gravity is negligible, a 495 kg rocket traveling at 95 m/s fires itsengines. The thrust force as a function of time,with horizontal axis in 11 sincrements. The mass lost by the rocket throughout these 30 s is negligible.
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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