A cylindrical beaker of height 0.100 m and negligible weight is filled to the brim with a fluid of density p = 890 kg/m³ . When the beaker is placed on a scale, its weight is measured to be 1.00 N .(Figure 1) A ball of density p, = 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/s .

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Chapter1: Units, Trigonometry. And Vectors
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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 \(\rho = 890 \, \text{kg/m}^3\). When the beaker is placed on a scale, its weight is measured to be 1.00 N. (Figure 1).

A ball of density \( \rho_b = 5000 \, \text{kg/m}^3 \) and volume \( V = 60.0 \, \text{cm}^3 \) 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 \( g = 9.81 \, \text{m/s}^2 \).
Transcribed Image Text:A cylindrical beaker of height 0.100 m and negligible weight is filled to the brim with a fluid of density \(\rho = 890 \, \text{kg/m}^3\). When the beaker is placed on a scale, its weight is measured to be 1.00 N. (Figure 1). A ball of density \( \rho_b = 5000 \, \text{kg/m}^3 \) and volume \( V = 60.0 \, \text{cm}^3 \) 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 \( g = 9.81 \, \text{m/s}^2 \).
## Part A

What is the weight \( W_b \) of the ball?

**Express your answer numerically in newtons.**

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Input box for \( W_b = \) [       ] N

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---

## Part B

What is the reading \( W_z \) 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.

**Calculate your answer from the quantities given in the problem and express it numerically in newtons.**

[View Available Hint(s)]

Input box for \( W_z = \) [       ] N

**Submit Button**
Transcribed Image Text:## Part A What is the weight \( W_b \) of the ball? **Express your answer numerically in newtons.** [View Available Hint(s)] Input box for \( W_b = \) [ ] N **Submit Button** --- ## Part B What is the reading \( W_z \) 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. **Calculate your answer from the quantities given in the problem and express it numerically in newtons.** [View Available Hint(s)] Input box for \( W_z = \) [ ] N **Submit Button**
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