183_notes:grav_and_spring_pe [Projects & Practices in Physics]

Link to this comparison view

--- 183_notes:grav_and_spring_pe [2014/10/10 18:15] – caballero
+++ 183_notes:grav_and_spring_pe [2021/03/12 02:45] (current) – [Types of Potential Energy] stumptyl
@@ Line 1: / Line 1: @@
+Section 6.8 and 7.2 in Matter and Interactions (4th edition)
 ===== Types of Potential Energy =====
-[[183_notes:potential_energy|Potential energy]] is the energy associated with interactions between pairs of objects. In these notes, you will read about two particular types of potential energy: the energy associated with the gravitational interaction and the energy associated with a spring-mass system.
+[[183_notes:potential_energy|Potential energy]] is the energy associated with interactions between pairs of objects. **In these notes, you will read about two particular types of potential energy: the energy associated with the gravitational interaction and the energy associated with a spring-mass system.**
 ==== (Near Earth) Gravitational Potential Energy ====
@@ Line 33: / Line 35: @@
 [{{ 183_notes:potential_energy.006.png?400|A spring-mass system (spring constant,  $k_s$ ) is stretched through a distance ( $\Delta s$ ).}}]
-To determine the potential energy associated with a spring-mass system, consider the work done by a spring on an object (mass,  $m$ ) attached to its end. The spring is stretched through a displacement ( $\Delta \vec{s}$ ). The displacement and the gravitational force are in opposite directions.
+To determine the potential energy associated with a spring-mass system, consider the work done by a spring on an object (mass,  $m$ ) attached to its end. The spring is stretched through a displacement ( $\Delta \vec{s}$ ). The displacement and the spring force are in opposite directions.
 To calculate the work that the spring does, consider the object as the system. Remember that the [[183_notes:springmotion|spring force changes with displacement]], and thus we must use the [[183_notes:work_by_nc_forces|integral formulation to calculate the work]].
@@ Line 47: / Line 49: @@
  $W_{s} = -\dfrac{1}{2}k_s\left(s_f^2-s_i^2\right)$
-If you include the spring in your system, so that the system is now the spring and the object, then potential energy shared spring-object system is given by,
+If you include the spring in your system, so that the system is now the spring and the object, then the potential energy shared between the spring-object system is given by,
   - System: object+spring; Surroundings: Nothing
@@ Line 61: / Line 63: @@
 Dissipative forces such as friction and air drag are non-conservative forces. The path that an object takes matters very much when non-conservative forces are present. Moreover, these dissipative forces cannot be associated with any construct like potential energy.
+==== Examples ====
+  * [[183_notes:examples:sledding|Sledding down a hill]]
+  * [[183_notes:examples:the_jumper|The Jumper]]