### Problem StatementJohn and Madeline go to Home Depot to buy some logs to build a raft. They find logs that are 3 meters long, with a diameter of 17 cm. How many logs would they need to buy to build a raft that would just barely float them? Assume the combined mass of John and Madeline is 133 kg, and the density of wood is 0.720 g/cm³.### Solution ApproachTo determine the number of logs required to float John and Madeline, we need to consider the following steps:1. **Calculate the Volume of a Single Log**: Using the formula for the volume of a cylinder, \(V = \pi r^2 h\), where: - \(r\) is the radius of the log, - \(h\) is the height (length) of the log.2. **Convert Units**: Convert the measurements into consistent units so that the calculations are correct. - Diameter to Radius: \( r = \frac{17}{2} = 8.5 \, \text{cm} \) - Length: \( h = 3 \, \text{m} = 300 \, \text{cm} \)3. **Calculate the Mass of a Log**: Using the density formula, \( \text{Mass} = \text{Density} \times \text{Volume} \).4. **Determine Buoyancy Force**: Ensure that the total mass of the logs required is enough to float the combined mass of John and Madeline.### Detailed Calculation1. **Volume of a Single Log**: \[ V = \pi r^2 h = \pi \times (8.5 \, \text{cm})^2 \times 300 \, \text{cm} \] \[ V = \pi \times 72.25 \, \text{cm}^2 \times 300 \, \text{cm} \] \[ V = \pi \times 21675 \, \text{cm}^3 \approx 68177.5 \, \text{cm}^3 \]2. **Mass of a Single Log**: Using the given density of wood, \(0.720 \, \text{g/cm}^

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Description: ### Problem StatementJohn and Madeline go to Home Depot to buy some logs to build a raft. They find logs that are 3 meters long, with a diameter of 17 cm. How many logs would they need to buy to build a raft that would just barely float them? Assume

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John and Madeline go to home Depot to buy some logs to build a raft. They find logs that are 3 meters long. with a. How many logs would they need to buy to build a raft that would just barely float them? Assume the combined mass of John and Madeline is 133, and the density of wood is 0.720 g/cm³, and each log has a diameter of 17 cm.

John and Madeline go to home Depot to buy some logs to build a raft. They find logs that are 3 meters long. with a. How many logs would they need to buy to build a raft that would just barely float them? Assume the combined mass of John and Madeline is 133, and the density of wood is 0.720 g/cm³, and each log has a diameter of 17 cm.

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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