## Determining the Force to Move a Block of Ice### Problem StatementA block of ice at a temperature of 0°C is drawn across a level surface. This surface is lubricated by a thin layer of water that is 0.10 mm thick. Your task is to determine the magnitude of the force \(\vec{F}\) needed to pull the block at a constant speed of 0.63 m/s. At this temperature, the viscosity (\(\eta\)) of water is given as \(1.79 \times 10^{-3} \, \text{N} \cdot \text{s/m}^2\).### Given Data- Thickness of water layer: 0.10 mm (0.1 × 10^{-3} m)- Speed of movement: 0.63 m/s- Viscosity of water at 0°C: \(1.79 \times 10^{-3} \, \text{N} \cdot \text{s/m}^2\)- Dimensions of the block: 0.80 m (height) and 1.20 m (width)### Diagram ExplanationBelow the problem statement, a diagram illustrates the block of ice being pulled to the right:- The block has a height of 0.800 m and a width of 1.20 m.- The water layer beneath the block is labeled as 0.10 mm thick.- The force \(\vec{F}\) is depicted as an arrow pointing horizontally to the right.This illustrative diagram helps visualize the problem setup, indicating the direction of the applied force and the block's dimensions.### Solution FormatTo find the magnitude of the force, apply the principles of viscosity and fluid dynamics, considering the given parameters and the relationship between force, viscosity, velocity, and the area of contact. Make sure to convert all units to the International System of Units (SI) before performing calculations.

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Description: ## Determining the Force to Move a Block of Ice### Problem StatementA block of ice at a temperature of 0°C is drawn across a level surface. This surface is lubricated by a thin layer of water that is 0.10 mm thick. Your task is to determine the magn

Given: dx = 0.1 mm = 10-4 m v = 0.63 m/s A = 0.8 x 1.2 m2 = 0.96 m2 coefficient of viscosity =…

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The block of ice (temperature 0°C) shown in the figure below is drawn over a level surface lubricated by a layer of water 0.10 mm thick. Determine the magnitude of the force i needed to pull the block with a constant speed of 0.63 m/s. At 0°C, the viscosity of water has the value n = 1.79 x 10-3 N. s/m2. N 1.20 m- 0.800 m 0.10 mm

The block of ice (temperature 0°C) shown in the figure below is drawn over a level surface lubricated by a layer of water 0.10 mm thick. Determine the magnitude of the force i needed to pull the block with a constant speed of 0.63 m/s. At 0°C, the viscosity of water has the value n = 1.79 x 10-3 N. s/m2. N 1.20 m- 0.800 m 0.10 mm

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Question

## Determining the Force to Move a Block of Ice

### Problem Statement
A block of ice at a temperature of 0°C is drawn across a level surface. This surface is lubricated by a thin layer of water that is 0.10 mm thick. Your task is to determine the magnitude of the force \(\vec{F}\) needed to pull the block at a constant speed of 0.63 m/s. At this temperature, the viscosity (\(\eta\)) of water is given as \(1.79 \times 10^{-3} \, \text{N} \cdot \text{s/m}^2\).

### Given Data
- Thickness of water layer: 0.10 mm (0.1 × 10^{-3} m)
- Speed of movement: 0.63 m/s
- Viscosity of water at 0°C: \(1.79 \times 10^{-3} \, \text{N} \cdot \text{s/m}^2\)
- Dimensions of the block: 0.80 m (height) and 1.20 m (width)

### Diagram Explanation
Below the problem statement, a diagram illustrates the block of ice being pulled to the right:
- The block has a height of 0.800 m and a width of 1.20 m.
- The water layer beneath the block is labeled as 0.10 mm thick.
- The force \(\vec{F}\) is depicted as an arrow pointing horizontally to the right.

This illustrative diagram helps visualize the problem setup, indicating the direction of the applied force and the block's dimensions.

### Solution Format
To find the magnitude of the force, apply the principles of viscosity and fluid dynamics, considering the given parameters and the relationship between force, viscosity, velocity, and the area of contact.

Make sure to convert all units to the International System of Units (SI) before performing calculations.

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