**Title: Understanding Energy Conservation in a Swinging Pendulum**A pendulum is swinging back and forth in periodic motion. At the highest point (the moment that the pendulum stops moving up), the mass at the end has a gravitational potential energy of 3.0 J. As it swings down, there is a point at which the gravitational potential energy is reduced to 1.0 J. What is true about the energy of the pendulum during this time?---**Your answer:**- ⃝ The gravitational energy and kinetic energy are both going to be 1.0 J at the same time.- ⃝ The kinetic energy will be 2.0 J when the gravitational potential energy is 1.0 J.- ⃝ The kinetic energy will remain constant during this motion.- ⃝ The total energy of the pendulum will increase and decrease as it moves.---**Explanation:**The correct observation here involves understanding the principle of conservation of energy. In a pendulum system, the total mechanical energy (the sum of kinetic and potential energies) is conserved, assuming we neglect air resistance and friction.1. **Gravitational Energy and Kinetic Energy**: At the highest point, all the energy is potential, being 3.0 J. As the pendulum swings down, potential energy is converted into kinetic energy. 2. **Kinetic Energy Calculation**: - When gravitational potential energy (U) is 1.0 J, the initial total energy (E) was 3.0 J. Therefore, by conservation of energy: \[ E = K + U \] \[ 3.0 \text{ J} = K + 1.0 \text{ J} \] Thus, \[ K = 3.0 \text{ J} - 1.0 \text{ J} = 2.0 \text{ J} \] This indicates that when gravitational potential energy is 1.0 J, the kinetic energy will be 2.0 J. 3. **Constancy of Kinetic Energy**: As the pendulum swings, kinetic energy fluctuates—it’s maximum when potential energy is minimum (at the lowest point of the swing and vice-versa.4. **Total Energy**: In an ideal pendulum system, without any external force interference (like friction and air resistance), the

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Description: **Title: Understanding Energy Conservation in a Swinging Pendulum**A pendulum is swinging back and forth in periodic motion. At the highest point (the moment that the pendulum stops moving up), the mass at the end has a gravitational potential energ

Given data: The gravitation potential energy at highest point is U1=3 J. The gravitation potential…

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A pendulum is swinging back and forth in periodic motion. At the highest point (the moment that the pendulum stops moving up), the mass at the end has a gravitational potential energy of 3.0J. As it swings down, there is a point at which the gravitational potential energy is reduced to 1.0 J. What is true about the energy of the pendulum during this time? Your answer: The gravitational energy and kinetic energy are both going to be 1.0 J at the same time. The kinetic energy will be 2.0J when the gravitational potential energy is 1.0 J. The kinetic energy will remain constant during this motion. The total energy of the pendulum will increase and decrease as it moves.

A pendulum is swinging back and forth in periodic motion. At the highest point (the moment that the pendulum stops moving up), the mass at the end has a gravitational potential energy of 3.0J. As it swings down, there is a point at which the gravitational potential energy is reduced to 1.0 J. What is true about the energy of the pendulum during this time? Your answer: The gravitational energy and kinetic energy are both going to be 1.0 J at the same time. The kinetic energy will be 2.0J when the gravitational potential energy is 1.0 J. The kinetic energy will remain constant during this motion. The total energy of the pendulum will increase and decrease as it moves.

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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