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**AP Physics C: Mechanics**

Work & Energy

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**The ability of a physical system to cause change**

What is Energy? The ability of a physical system to cause change What is its definition? Energy can come in many forms and is transferrable. It is a conserved quantity in the universe. What are its properties? Chemical, electrical, nuclear, thermodynamic, light, mechanical, kinetic, potential, elastic, etc. What forms can it be in?

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**Work (Energy) is a scalar quantity.**

What is Work? The amount of energy transferred by a force acting through a displacement What is its definition? Work (Energy) is a scalar quantity. What are its properties? How can it be calculated? W=fscosθ

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Work The area under an Force-displacement graph

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**Work Work is an energy transfer.**

If energy is added to the system then W is positive. If energy is transferred from the system then W is negative.

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Work Work is a scalar. The NET work on an object is the sum of the work done by each force acting on it.

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**Work Units of work 1 erg=10-7J System Unit Alternate name SI Nm**

Joule (J) cgs dyne*cm erg English foot*pound - 1 erg=10-7J

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Work-Energy Theorem The work done by a net force in displacing a particle equals the change in kinetic energy of the particle. Stress on the word particle. This is a drastic idealization.

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**Mechanical Potential Energy**

Gravitational Elastic

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**Conservation of Energy**

This is always true, but mechanical energy is only conserved when only conservative forces are present. Work done by a conservative force is path independent Forces such as friction and air drag are non-conservative. They result in energy dissipated as heat.

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What is it?

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**Power The time rate at which work is being done.**

How do we calculate it? If a net force acts on a particle and does work W over an interval of time Δt, then the average power is:

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Power The time rate of energy transfer. Instantaneous Power

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**Power Watt are the units? 1hp=550ft*lbs/sec=746W**

Note: A kilowatt-hour is often used by power companies. What is it a measure of?

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**Potential Energy and Conservative Forces**

Potential energy is only associated with conservative forces. If an object or field does work on some external object, energy is transferred from the object or field to the external object: The energy transferred as work decreases the potential energy of the system from which it came.

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**Potential Energy and Conservative Forces**

The conservative force equals the negative (partial) derivative of the potential energy with respect to x. The negative sign means that the final potential energy of the system is lower than the initial as the conservative force does work.

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**Potential Energy and Conservative Forces**

Examples:

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1 5. Work and Energy 5.1. Work The work done by a constant force is given by the dot product of that force and a displacement vector (5.1) F t – projection.

1 5. Work and Energy 5.1. Work The work done by a constant force is given by the dot product of that force and a displacement vector (5.1) F t – projection.

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