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PROBLEM SOLVING TACTICS Tactic 1: Using the Term Potential Energy A potential energy is associated with a system as a whole. However, you might see statements that associate it with only part of the system. For example, you might read,.An apple hanging in a tree has a gravitational potential energy . Such statements are often acceptable.

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Elastic Potential Energy We next consider the block-spring system shown with the block moving on the end of a spring of spring constant k, As the block moves from point Xi to point xf’ the spring force does work on the block. To associate a potential energy value U with the block at position x. we choose the […]

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Gravitational Potential Energy We first consider a particle with mass m moving vertically along a Y axis (the positive direction is upward). As the particle moves from point to point. the gravitational force F ~ does work on it. To find the corresponding change in the gravitational potential energy of the particle-Earth system. Only changes 6.V in […]

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Determining Potential Energy Values Here we find equations that give the value of the two types of potential energy discussed in this chapter: gravitational potential energy and elastic potential energy. However, first we must find a general relation between a conservative force and the associated potential energy. Substituting,we find that the change in potential energy . due to the […]

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Sample Problem Shows a 2_0 kg block of slippery cheese that slides along a friction less track from point a to point b. The cheese travels through a total distance of 2.0 m along the track, and a net vertical distance. SOLUTION: A Key Idea here is that we cannot use to calculate work done by the  gravitational […]

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Proof Of Equation Shows an arbitrary round trip for a particle that is acted upon by a single force. The particle moves from an initial point a to point b along path I, and then back to point a along path 2. The force does work on the particle as the particle moves along each path. Let us […]

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Path Independence of Conservative Forces The primary test for determining whether a force is conservative or non conservatives this: Let the force ·act on a particle that moves along any closed path. beginning at some initial position and eventually returning to that position (so that the particle makes a round trip beginning and ending at the […]

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Conservative and Non conservative Forces Let us list the key elements of the two situations we just discussed: 1. The system consists of two or more objects. 2. A force acts between a particle-like object (tomato or block) in the system and the rest of the system. 3. When the system configuration changes, the force does work (call […]

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Work and Potential Energy Let us throw a tomato upward (Fig. 8-2). We already know that as the tomato rises, the work done on the tomato by the gravitational force is negative because the force transfers energy from the kinetic energy of the tomato. We can now finish the story by saying that this energy is transferred by […]

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Potential Energy In this chapter we continue the discussion of energy that we began. To do so, we define a second form of energy: potential energy U is energy that can be associated with the configuration (or arrangement) of a system of objects that exert forces on one another. If the configuration of the system changes, then the […]