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Apparent Weight and Actual Weight

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Please help with the given problem:
** Please see the attached file for the figure depicting the described problem **

You must compute the ratio of the actual weight of the crown (W_actual) and the apparent weight of the crown when it is submerged in water (W_apparent). See whether you can follow in Archimedes' footsteps. The figure in the attached file shows what is meant by weighing the crown while it is submerged in water.

Take the density of the crown to be p_c. What is the ratio of the crown's apparent weight (in water), W_apparent, to its actual weight, W_actual?

Express your answer in terms of the density of the crown (p_c) and the density of water (p_w).

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Solution Summary

This solution shows how to calculate the apparent weight and the actual weight of a crown submerged in water. All the steps are provided to determine the answer for greater student understanding.

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Let the volume of the crown be V, let the density of the crown be p_c, and let the density of water be p_w.

The actual weight of the crown is W_actual = V*p_c.
The ...

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