# Conservation of Energy

## Conservation of Mechanical Energy

Motion of a small object that slides down a large sphere and hits the ground.

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## Kinetic and Potential Energy

Kinetic energy of a particle; gravitational potential energy; the law of conservation of mechanical energy. Includes several examples.

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Combined kinetic and potential energy of a ball dropped into a jar of oil. Solution not included.

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## Conservation of Energy

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Definition of the law of conservation of energy, with examples; definition of conservative forces and the potential energy of conservative forces.

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Velocity of a ball thrown downward in comparison to velocity of a ball dropped from rest. Solution not included.

Defining a mass-spring system such that energy is conserved. Solution not included.

Defining a system of a falling ball such that energy is conserved. Solution not included.

Energy and work with respect to a ball lifted at constant velocity. Solution not included.

Energy and work with respect to a ball lifted at constant velocity and the earth. Solution not included.

Work done on a system of a cup of water and the earth. Solution not included.

Work done on a system of a falling ball and the earth. Solution not included.

Compression of a spring resulting from collision with a moving object. Solution not included.

Cart rolling down an inclined plane and compressing a spring.

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Motion of a small mass launched from the surface of the earth.

## Potential Energy

Spring potential energy and gravitational potential energy, with several examples; superposition of conservative forces; definition of non-conservative forces; conversion between forces and resultant potential energies.

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Definition of conservative force; change in potential energy and conservation of mechanical energy; energy curves; potential energy for gravity and springs; energy changes for conservative and non-conservative forces.

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## Work and Force

Work done by a force (W = F*d); conservation of energy.

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## Energy and Work

Energy transformations and conservation of energy; energy of system and surroundings; definition of kinetic energy, with equation (K = 1/2*m*v2); definition of work done by a constant force, with equation (Wapplied = Fx*δ x).

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## Work and Dot Product Problem Solving Strategies

Class problems.

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## Work and Energy Review

Definitions of kinetic energy and work; work-energy relationship; work done along an arbitrary path; instantaneous power; potential energy and force; potential energy of a spring; potential energy due to gravity; conservation of mechanical energy.

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3-part problem; finding normal force from wire and height the bead attains on the way back up.

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## Kinetic Energy and Momentum

Changes in momentum and kinetic energy of two objects. Solution not included.

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## Simple Harmonic Motion

Momentum and kinetic energy of a baseball bat; simple harmonic motion of two mass-spring systems. Solution not included.

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## Circular Motion and Conservation of Mechanical Energy

Motion of an object along a frictionless loop-the-loop track.

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## Beads Sliding Along a Ring

Forces acting on a suspended ring with sliding beads.

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## Kinetic Energy and Speed

Linear speed of a streetcar on a circular track. Solution not included.

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## Kinetic Energy of the Earth

Conversion of the kinetic energy of the earth-sun system to potential energy. Solution not included.

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## Ball and Spring

Work done on a ball launched vertically by a spring. Solution not included.

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## Cart on an Inclined Track

Velocity and acceleration of a cart compressing a spring on an inclined track. Solution not included.

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## Experiment 6 Pre-Lab

Collision of a cart with a fixed spring on a track.

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## Experiment 6 Analysis

Fitting data from Experiment 6.

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## Block Hanging From Two Ropes

4-part problem; free-body diagram and tension while hanging; speed and tension after one rope is cut. Solutions are included after problems.

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## Spring-Launched Ball

Finding the spring constant of a spring from the maximum height of a ball shot by the spring.

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## Spring and Loop

Motion of a mass propelled by a spring along a frictionless loop.

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## Inclined Plane, Friction, Spring

Motion of a mass that slides down an inclined plane and compresses a spring.

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