TagAP Physics Mechanics C

Relation between potential energy U and conservative force F

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AP MECHANICS -C LEARNING OBJECTIVE CON 1.B -Derive an expression that represents the relationship between a conservative force acting in a system on an object to the potential energy of the system using the methods of calculus. 1.F -Derive an expression for the gravitational potential energy of a system consisting of a satellite or large mass (e.g., an asteroid) and the Earth at a great distance...

Potential energy function U(x) in one dimension

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AP MECHANICS -C LEARNING OBJECTIVE CON 1.C -Describe the force within a system and the potential energy of a system. So far we have seen that a potential energy function U(x) can be found in the cases where conservative forces are acting in the system. We proved that in such cases the work done by the forces in a closed loop is always zero. For a one-dimensional case where the U varies only as a...

Calculating elastic potential energy

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LEARNING OBJECTIVE 3.3.A - Describe the potential energy of a system. AP MECHANICS -C LEARNING OBJECTIVE CON 1.D -Derive the expression for the potential energy function of an ideal spring. In the last section, we derived an expression to calculate the numerical value of kinetic energy. Let’s now derive expressions for potential energy associated with two of the forces we will be frequently...

Calculating gravitational potential energy

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LEARNING OBJECTIVE 3.3.A - Describe the potential energy of a system. AP MECHANICS -C LEARNING OBJECTIVE CON 1.E -Calculate the potential energy of a system consisting of an object in a uniform gravitational field. In the last section, we derived an expression to calculate the numerical value of kinetic energy. Let’s now derive expressions for potential energy associated with two of the...

Conservative and non-conservative forces

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LEARNING OBJECTIVE 3.4.C - Describe how the selection of a system determines whether the energy of that system changes. AP MECHANICS -C LEARNING OBJECTIVE CON 1.A -Compare conservative and dissipative forces. Describe the role of a conservative force or a dissipative force in a dynamic system. In the last section, we looked at the case of motion of a ball in the gravitational field and concluded...

When can we use conservation of mechanical energy?

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LEARNING OBJECTIVE 3.4.B - Describe the behavior of a system using conservation of mechanical energy principles. AP MECHANICS -C LEARNING OBJECTIVE CON 1.A -Compare conservative and dissipative forces. Describe the role of a conservative force or a dissipative force in a dynamic system. In last section, we looked at the law of conservation of mechanical energy. Then we quickly dismissed it in...

Law of conservation of energy

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LEARNING OBJECTIVE 3.4.C - Describe how the selection of a system determines whether the energy of that system changes. AP MECHANICS -C LEARNING OBJECTIVE CON 2.A -. Describe physical situations in which mechanical energy of an object in a system is converted to other forms of energy in the system. An object thrown into the air with a certain kinetic energy returns to the ground without quite the...

Mathematics of mechanical energy conservation

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LEARNING OBJECTIVE 3.4.B - Describe the behavior of a system using conservation of mechanical energy principles. AP MECHANICS -C LEARNING OBJECTIVE CON 2.B -. Describe kinetic energy, potential energy, and total energy in relation to time (or position) for a “conservative” mechanical system. In the last section, we introduced a very profound idea of the conservation of mechanical energy...

Mechanical energy and its conservation

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LEARNING OBJECTIVE 3.4.B - Describe the behavior of a system using conservation of mechanical energy principles. AP MECHANICS -C LEARNING OBJECTIVE CON 2.A -. Describe physical situations in which mechanical energy of an object in a system is converted to other forms of energy in the system. Describe physical situations in which the total mechanical energy of an object in a system changes or...

Another way of storing work – Potential energy

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LEARNING OBJECTIVE 3.3.A - Describe the potential energy of a system. AP MECHANICS -C LEARNING OBJECTIVE CON 1.B -Explain how the general relationship between potential energy functions and conservative forces is used to determine relationships between the two physical quantities. In the last section, we introduced the idea of kinetic energy. Kinetic energy stores work by virtue of motion...

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Hi, I am Gaurav. I am a passionate physics student and tutor. I help students study and prepare for exams such as AP Physics, NEET and IIT JEE. I appeared for IIT JEE exam way back in 1998 and during that time I fell in love with Physics. I managed to clear the exam and eventually worked in several countries in different roles but the love for Physics always continued and hence the journey of life long learning and teaching.