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- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/08%3A_Work_and_Energy/8.24%3A_Further_TopicsThermal, chemical, electric, radiant, nuclear, magnetic, elastic, sound, mechanical, luminous, and mass are forms that energy can exist in.
- https://phys.libretexts.org/Learning_Objects/Visualizations_and_Simulations/PhET_Simulations/PhET%3A_Hooke's_LawStretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and para...Stretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and parallel.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/JJC_-_PHYS_110/07%3A_PhET_Simulations/7.17%3A_PhET-_Hooke's_LawStretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and para...Stretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Investigate what happens when two springs are connected in series and parallel.
- https://phys.libretexts.org/Learning_Objects/Visualizations_and_Simulations/PhET_Simulations/PhET%3A_Energy_Skate_Park_-_BasicsLearn about conservation of energy with a skater gal! Explore different tracks and view the kinetic energy, potential energy and friction as she moves. Build your own tracks, ramps, and jumps for the ...Learn about conservation of energy with a skater gal! Explore different tracks and view the kinetic energy, potential energy and friction as she moves. Build your own tracks, ramps, and jumps for the skater.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/08%3A_Energy_Physics_and_Chemistry/8.04%3A_Work_and_Energy/8.4.01%3A_Potential_Energy-_Gravity_and_SpringsWe've seen how energy can exist because of the movement of an object. As it turns out, energy can also exist within an object because it has the potential to have some sort of movement. There are mult...We've seen how energy can exist because of the movement of an object. As it turns out, energy can also exist within an object because it has the potential to have some sort of movement. There are multiple examples of this, but for now we will look at two: gravity and springs. Later in this chapter we will revisit the idea of energy and other ways in which we might categorize it.
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/26%3A_Energy/26.02%3A_Potential_Energy1h+R⊕=1R⊕−hR2⊕+h2R3⊕−h3R4⊕+⋯ \[U(h) =G M_{\oplus} m\left[\frac{1}{R_{\oplus}}-\left(\frac{1...1h+R⊕=1R⊕−hR2⊕+h2R3⊕−h3R4⊕+⋯ U(h)=GM⊕m[1R⊕−(1R⊕−hR2⊕+h2R3⊕−h3R4⊕+⋯)]
- https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_Introductory_Physics_-_Building_Models_to_Describe_Our_World_(Martin_Neary_Rinaldo_and_Woodman)/08%3A_Potential_Energy_and_Conservation_of_Energy/8.02%3A_Potential_EnergyTake, for example, the potential energy from a spring (Example 8.2.2): U(x)=12kx2+C As you recall from Example 8.2.2, to find this function (in one dimen...Take, for example, the potential energy from a spring (Example 8.2.2): U(x)=12kx2+C As you recall from Example 8.2.2, to find this function (in one dimension), we took the x component of the spring force and (effectively) found the negative of its anti-derivative, which we defined as the potential energy function: \[\begin{aligned} F(x) &= -kx\\[4pt] U(x) &= -\int F(x) dx = \int (kx) dx = \frac{1}{2}kx^2+C\\[4pt] \therefore F(x) &= -\frac{d}{dx…
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC%3A_Physics_121_-_General_Physics_I/09%3A_Potential_Energy_and_Conservation_of_Energy/9.02%3A_Potential_Energy_of_a_SystemIn Work, we saw that the work done on an object by the constant gravitational force, near the surface of Earth, over any displacement is a function only of the difference in the positions of the end-p...In Work, we saw that the work done on an object by the constant gravitational force, near the surface of Earth, over any displacement is a function only of the difference in the positions of the end-points of the displacement. This property allows us to define a different kind of energy for the system than its kinetic energy, which is called potential energy. We consider various properties and types of potential energy in the following subsections.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/08%3A_Work_and_Energy/8.14%3A_Potential_Energy_of_a_SystemIn Work, we saw that the work done on an object by the constant gravitational force, near the surface of Earth, over any displacement is a function only of the difference in the positions of the end-p...In Work, we saw that the work done on an object by the constant gravitational force, near the surface of Earth, over any displacement is a function only of the difference in the positions of the end-points of the displacement. This property allows us to define a different kind of energy for the system than its kinetic energy, which is called potential energy. We consider various properties and types of potential energy in the following subsections.
- https://phys.libretexts.org/Courses/Gettysburg_College/Gettysburg_College_Physics_for_Physics_Majors/08%3A_C8)_Conservation_of_Energy-_Kinetic_and_Gravitational/8.02%3A_Conservative_InteractionsThe interaction responsible for this change in the object’s kinetic energy is, of course, the gravitational interaction between it and the Earth, so we are going to say that the “missing” kinetic ener...The interaction responsible for this change in the object’s kinetic energy is, of course, the gravitational interaction between it and the Earth, so we are going to say that the “missing” kinetic energy is temporarily stored as gravitational potential energy of the system formed by the Earth and the object.
- https://phys.libretexts.org/Courses/Berea_College/Introductory_Physics%3A_Berea_College/08%3A_Potential_Energy_and_Conservation_of_Energy/8.02%3A_Potential_EnergyTake, for example, the potential energy from a spring (Example 8.2.2): U(x)=12kx2+C As you recall from Example 8.2.2, to find this function (in one dimen...Take, for example, the potential energy from a spring (Example 8.2.2): U(x)=12kx2+C As you recall from Example 8.2.2, to find this function (in one dimension), we took the x component of the spring force and (effectively) found the negative of its anti-derivative, which we defined as the potential energy function: \[\begin{aligned} F(x) &= -kx\\ U(x) &= -\int F(x) dx = \int (kx) dx = \frac{1}{2}kx^2+C\\ \therefore F(x) &= -\frac{d}{dx}U(x)\end{…
