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Work
- If an object is displaced while some constant force acts on it, the work done by the force is the dot product of the force and displacement vectors.
- The work done in stretching (or compressing) a spring by a distance x is kx2/2, where k is the force constant of the spring.
- Work-Kinetic energy theorem: The work done on an object by
the net force is equal to the change in kinetic energy:
Work done by net force = Final kinetic energy Initial kinetic energy
- The potential energy of a system is the work done in assembling the system. For an object of mass m at a height h, near the surface of the Earth, the potential energy of the Earth-object system is mgh.
- If a spring is stretched (or compressed) by a distance x, then the elastic potential energy stored in the spring is kx2/2.
- Power is the rate of doing work; Power = F.v
Work
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.
- Work Done by a Constant Force
- Example: Force f on Object Moved a Displacement d in Same Direction
- Force Applied on Object at Angle ø and Displacement d
- Work Done
- Force Perpendicular to Displacement (No Work)
- Example: Lifting an Object from the Surface of Earth to Height h
- Total Work Done
- Example: Object on an Inclined Surface
- Example: Object on Truck
- Work Done on a Box with No Friction
- Work Done with Static Friction
- Stretching or Compressing a Spring
- Example: Stretching a Spring
- Work Done in Stretching a Spring
- Spring Stretched Amount A
- Spring Stretched Amount B With Constant Velocity
- Force at Starting
- Force at End
- Total Displacement
- Average Force
- Work Done
- Compressing a Spring
- Work Kinetic Energy Theorem
- Object Mass M on Frictionless Surface
- Object Moved a Displacement d With Acceleration a
- Work Done on an Object by Net Force (Kinetic Energy Theorem)
- Example: Object at Height
- Force on Object
- Work Energy Theorem
- Block Pulled on a Rough Horizontal Surface
- Object on a Surface with Friction
- Coefficient of Kinetic Friction
- Work Done by Net Force = Change in K.E
- Applying a Force on an Object at an Angle ø and Displacement d
- Net Force
- Work Done
- Potential Energy of a System
- Potential Energy of Two or More Objects
- Example: Object of Mass m at Height h
- Earth and Object in Position
- Potential Energy, u=mgh
- Absolute Value of Potential Energy
- Example: Two Objects at Different Heights
- Elastic Potential Energy in a Spring Block System
- Power
- Extra Example 1: Work Done, Block on Horizontal Surface
- Extra Example 2: Object and Compressed Spring
- Extra Example 3: Person Running
































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