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Name: A cylindrical beaker of height 0.100 m and negligible weight is filled
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Description: A cylindrical beaker of height 0.100 m and negligible weight is filled to the brim with a fluid of density ρ = 890 kg/m3 . When the beaker is placed on a scale, its weight is measured to be 1.00 N . A ball of density ρb = 5000 kg/m3 and volume V = 60

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A cylindrical beaker of height 0.100 m and negligible weight is filled to the brim with a fluid of density ρ = 890 kg/m3 . When the beaker is placed on a scale, its weight is measured to be 1.00 N . A ball of density ρb = 5000 kg/m3 and volume V = 60.0 cm3 is then submerged in the fluid, so that some of the fluid spills over the side of the beaker. The ball is held in place by a stiff rod of negligible volume and weight. Throughout the problem, assume the acceleration due to gravity is g = 9.81 m/s2 . What is the weight Wb of the ball? What is the reading W2 of the scale when the ball is held in this submerged position? Assume that none of the water that spills over stays on the scale. What is the force Fr applied to the ball by the rod? Take upward forces to be positive (e.g., if the force on the ball is downward, your answer should be negative). The rod is now shortened and attached to the bottom of the beaker. The beaker is again filled with fluid, the ball is submerged and attached to the rod, and the beaker with fluid and submerged ball is placed on the scale. What weight W3 does the scale now show?

The image depicts a laboratory setup involving a beaker, a submerged sphere, and a weighing scale.

- **Components:**
- A beaker filled with a liquid (indicated by the Greek letter "ρ" for the liquid's density).
- A sphere is submerged in the liquid. The sphere is labeled with the letter "ν", representing volume.
- The sphere is suspended by a string or rod.
- The beaker is placed on a weighing scale.

- **Axes:**
- An x-y coordinate system is shown next to the scale, indicating the horizontal and vertical directions.

- **Key Details:**
- The setup is used to demonstrate principles of buoyancy and density.
- The scale measures the apparent weight of the system, which changes due to the buoyant force exerted by the liquid on the submerged sphere.

This setup can be used to calculate the buoyant force and determine the density of the liquid by applying Archimedes' principle.

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