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Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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4. Please provide full body diagram with explanation
**Problem Statement:** Calculate: A) The total energy of a 6 kg mass moving straight upward if the mass is moving with a velocity of 60 m/s at a height of 35 m. B) The maximum height this mass will achieve. C) The velocity of the mass at a point where the amount of kinetic energy is 80% of the maximum potential energy. **Solution Approach:** 1. **Total Energy Calculation:** - Total energy is the sum of kinetic energy and potential energy. - Kinetic Energy (KE) = \( \frac{1}{2} m v^2 \) - Potential Energy (PE) = \( mgh \) 2. **Maximum Height:** - At maximum height, all the kinetic energy will be converted into potential energy. - Use energy conservation principles to find the maximum height. 3. **Velocity at Specific Energy Condition:** - Relate KE and PE to find velocity where KE is 80% of the maximum PE. **Formulas to Use:** - KE = \(\frac{1}{2} mv^2\) - PE = \(mgh\) (Note: Here, \(m = 6 \text{ kg}\), \(v = 60 \text{ m/s}\), \(g = 9.8 \text{ m/s}^2\), and \(h = 35 \text{ m}\).) For detailed calculations, solve each part using the given values and formulas.
Transcribed Image Text:**Problem Statement:** Calculate: A) The total energy of a 6 kg mass moving straight upward if the mass is moving with a velocity of 60 m/s at a height of 35 m. B) The maximum height this mass will achieve. C) The velocity of the mass at a point where the amount of kinetic energy is 80% of the maximum potential energy. **Solution Approach:** 1. **Total Energy Calculation:** - Total energy is the sum of kinetic energy and potential energy. - Kinetic Energy (KE) = \( \frac{1}{2} m v^2 \) - Potential Energy (PE) = \( mgh \) 2. **Maximum Height:** - At maximum height, all the kinetic energy will be converted into potential energy. - Use energy conservation principles to find the maximum height. 3. **Velocity at Specific Energy Condition:** - Relate KE and PE to find velocity where KE is 80% of the maximum PE. **Formulas to Use:** - KE = \(\frac{1}{2} mv^2\) - PE = \(mgh\) (Note: Here, \(m = 6 \text{ kg}\), \(v = 60 \text{ m/s}\), \(g = 9.8 \text{ m/s}^2\), and \(h = 35 \text{ m}\).) For detailed calculations, solve each part using the given values and formulas.
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