A large rock that weighs 164.0 N is suspended from the lower end of a thin wire that is 3.00 m long. The density of the rock is 3200 kg>m3. The mass of the wire is small enough that its effect on the tension in the wire can be ignored. The upper end of the wire is held fixed. When the rock is in air, the fundamental frequency for transverse standing waves on the wire is 42.0 Hz. When the rock is totally submerged in a liquid, with the top of the rock just below the surface, the fundamental frequency for the wire is 28.0 Hz. What is the density of the liquid?

A large rock that weighs 164.0 N is suspended from the lower end of a thin wire that is 3.00 m long. The density of the rock is 3200 kg>m3. The mass of the wire is small enough that its effect on the tension in the wire can be ignored. The upper end of the wire is held fixed. When the rock is in air, the fundamental frequency for transverse standing waves on the wire is 42.0 Hz. When the rock is totally submerged in a liquid, with the top of the rock just below the surface, the fundamental frequency for the wire is 28.0 Hz. What is the density of the liquid?

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Question

A large rock that weighs 164.0 N is suspended from the
lower end of a thin wire that is 3.00 m long. The density of the rock is
3200 kg>m3. The mass of the wire is small enough that its effect on the
tension in the wire can be ignored. The upper end of the wire is held fixed.
When the rock is in air, the fundamental frequency for transverse standing
waves on the wire is 42.0 Hz. When the rock is totally submerged in a
liquid, with the top of the rock just below the surface, the fundamental
frequency for the wire is 28.0 Hz. What is the density of the liquid?

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