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You are dating Moon rocks based on their proportions of uranium-238 (half-life of about 4.5 billion years) and its ultimate decay product, lead.
Part A: Find the age for a rock for which you determine that 50% of the original uranium-238 remains, while the other 50% has decayed into lead. Express your answer using three significant figures.
Part B: Find the age for a rock for which you determine that 64% of the original uranium-238 remains, while the other 36% has decayed into lead. Express your answer using three significant figures.
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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